Answer:
1
Step-by-step explanation:
there's no common factor between them
The number of members for an e-commerce company was 1,700 in the year that the company started and has increased by 10% per year since then. The exponential function of the number of members, m(t), in terms of t, the number of years since the year the company started, can be described by m(t) = 1700(1. 10)t. What is m(5) and its interpretation in the context of the problem?.
M(5) = 2737.867; After 5 years, there are approximately 2,737 members in the company
What does M(5) mean and how should it be interpreted in relation to the issue?
In this case, we know that the exponential function M(t) = 1700*(1.10)t denotes the number of members the company had t years after its founding.
Then, M(5) will stand for the number of members who joined the company five years after its founding. To determine this value, all we have to do is substitute the number five for the variable t.
M(5) = 1700*(1.10)^5 = 2,737.867
Rounding to the nearest whole number, we obtain 2,737, which indicates that there will be roughly 2,737 members after 5 years.
Consequently, the second choice is the right one:
"M(5) = 2737.867; There are about 2,737 members in the company after 5 years."
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Solve 1/2 + 1/2x = x^2 − 7x+10/4x by rewriting the equation as a proportion. Which proportion is equivalent to the original equation?
Name the true solution(s) to the equation
Name the extraneous solution(s) to the equation.
The proportion that is equivalent to the original equation [tex]\frac{x+1}{2x} =\frac{x^{2} -7x+10}{4x}[/tex]
The true solution to the equation [tex]x_{1} =1, x_{2}=8[/tex]
The extraneous solution to the equation.x=0
You are given the equation
[tex]\frac{1}{2} + \frac{1}{2x}=\frac{x^{2} -7x+10}{4x}[/tex]
we will note that
[tex]\frac{1}{2} + \frac{1}{2x}=\frac{x+1}{2x}[/tex]
this equation can now be rewritten as proportions as
[tex]\frac{x+1}{2x}=\frac{x^{2} -7x+10}{4x}[/tex]
Solving this equation using the main property of proportion:
[tex]4x. (x+1) =2x.(x^{2} -7x+10.\\[/tex]
[tex]2x(2x+2-x^{2} +7x-10) =0,[/tex]
[tex]2x(-x^{2} +9x-8) =0[/tex]
x cannot be equal to 0 (it is placed in the denominator of the initial equation and the denominator cannot be 0), so x=0 is the extraneous solution to the equation.
This will hence translate to
[tex]-x^{2} +9x-8=0[/tex]
[tex]x^{2} +9x+8=0,[/tex]
[tex]x_{1,2} = \frac{\sqrt{(-9)^2-4 . 8} }{2} =[/tex] 9±7/2
=1, 8
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The correct answers on Edge are explained and shown below.
Solve 1/2 + 1/2x = x^2 − 7x+10/4x by rewriting the equation as a proportion.
Q1: Which proportion is equivalent to the original equation?
Answer: C. [tex]\frac{x +1}{2x} = \frac{x^{2} -7x + 10}{4x}[/tex]
or
Option 3. x + 1/2x = x^2 - 7x + 10/4x
Q2: Name the true solution(s) to the equation:
Answer: x = 1, x = 8.
Q3: Name the extraneous solution(s) to the equation:
Answer: x = 0.
You are all welcome. Hope this helps. Have a nice day. :)
What is the rule for scale factor?
The rules of the scale factor has been explained
The scale factor is the ratio of the dimension of the new figure to the dimensions of the original figure.
The equation will be
Th scale factor = The dimensions of new figure ÷ Dimensions of the original figure
The values of the scale factor can be divided into three cases
When, scale factor greater than 1
The size of the new figure will be greater than original figure
When scale factor between 0 and 1
The size of the new figure will be less than original figure
When scale factor is equal to 1
The size of the new figure and original figure are same
Therefore, these are the rules of scale factor
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A town has a population of 10000 and grows at 5% every year. To the nearest year, how long will it be until the population will reach 22000?.
It takes about 16 years to reach the population size of 22000.
Population growth is the term used to describe changes in population size over time, which can be either positive or negative. The population growth formula is [tex]P=P_0\times e^{rt}[/tex]. Here, P is the total population size after time t, P₀ is the initial population size, r is the rate of growth, and e is Euler's number (e=2.72).
Given the total population, after time t is 22000, the initial population is 10000, and the rate is 5%.
Then, the time is calculated as,
[tex]\begin{aligned}22000&=10000\times e^{(0.05\times t)}\\\frac{22000}{10000}&=e^{(0.05\times t)}\\\ln(2.2)&=0.05\times t\\t&=\frac{0.788}{0.05}\\&=15.76\\&\approx16\end{aligned}[/tex]
The time it takes to reach a population size of 22000 is 16 years.
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airline passengers get heavier in response to the increasing weight of airline passengers, the federal aviation administration (faa) in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. but passengers vary, and the faa did not specify a standard deviation. a reasonable standard deviation is 35 pounds. weights are not normally distributed, especially when the population includes both men and women, but they are not very non-normal. a commuter plane carries 30 passengers. pg 447 applet 456 chapter 7 sampling distributions (a) explain why you cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds. (b) find the probability that the total weight of the passengers on a full flight exceeds 6000 pounds. show your work. (hint: to apply the central limit theorem, restate the problem in terms of the mean weight.)
The solutions for a and b are given below by using probability:
What is meant by central limit theorem?According to the central limit theorem, regardless of the underlying distribution, the distribution of the sum (or average) of a large number of independently distributed variables will be roughly normal. According to the central limit theorem, if you take sufficiently large random samples from a population with mean and standard deviation and replace some of the individuals in the samples, the sample means will be distributed about normally. The central limit theorem in probability theory proves that, even when independent random variables are added together, their correctly normalized sum frequently tends toward a normal distribution.
As a result, the sampling distribution of the sample mean of 22 passengers is normally distributed, with a mean weight of 190 pounds that is the same as the population's mean σ/√n.
=35/√22
=7.46
Now, for X=4500, z=(μ)/σ
=(4500-190)/7.46
=577.74
P(X>577.4)
=1-P(X<577.4)=0
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5
Σ -2n-1
n=1
How do I solve this
Answer:
-35
Step-by-step explanation:
Knowledge Needed
This notation is called sigma notation (or summation). It is used later on in Calculus too.
The number on top of the sigma sign is called the top index.
The number on bottom of the sigma sign is called the lower index.
To the right of the sigma sign is an expression.
I will give you an example to help.
3
Σ n^2
n = 1
To start, look at the bottom number. Then, plug all numbers from the lower index to the top index (including the top index) into the expression.
n^2
(1) ^ 2
(2) ^ 2
(3) ^ 2
We stop at 3 because 3 is the top index.
Simplify.
1 ^ 2 = 1
2 ^ 2 = 4
3 ^ 2 = 9
Add the numbers.
9 + 4 + 1
14
The answer is 14.
Question
Start at 1 and go to 5.
-2n-1
-2(1)-1
-2(2)-1
-2(3)-1
-2(4)-1
-2(5)-1
Stop at the 5, the top index.
Simplify.
-2 - 1 = -3
-4 - 1 = -5
-6 - 1 = -7
-8 - 1 = -9
-10 - 1 = -11
Add.
-3 + -5 + -7 + -9 + -11
-35
Pleasee help please 20 points
Word problem
Antonio’s solution to a compound inequality is wrong
explain what mistake was made the correct the mistake
Answer:
1. The mistake he made was in Step #2. He subtracted 10 from -6 and 10 but he didn't subtract 10 from 18.
2. The correct answer should be -16 ≤ x < 8
Hope this helps : )
Step-by-step explanation:
Whatever you do on one side of an inequality/equation, you must do the same thing to the other side(s).
To get the correct answer he must subtract 10 from 18 which equals 8.
The final compound inequality is -16 ≤ x < 8
What is the value of [-4.67]?
Answer:
the answer is letter B
Step-by-step explanation:
All you do is remove to parentheses
Answer:
-4
Step-by-step explanation:
I hope this helps
-9x5
81 devided by (-9)
What is the splitting strategy?
Splitting strategy is one of the technique in mathematics which help to add the larger number , two-digit and three digit and so on.
Explanation:
Splitting strategy is one of the mathematical technique :
It is useful to add the larger numbers.It split the numbers into addends , place value of the digit , factors of the given numbers .To make the calculation easy .It is also useful in making budget by dividing it into three required categories : Important, personal and Saving account.Splitting strategy also helpful to deliver or place the order fast by splitting it into different categories.Useful to divide the work in error free or reduce the chances of error.Therefore, the splitting strategy is mathematical technique to make out work effortless.
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domain of :f(x)=x^2-11x-10
The domain of the function :f(x)=x^2-11x-10 is expressed as D = (-∞, ∞)
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The domain of a function is the value of the input 'x' for which the given function exists here.
Given the function f(x)= x^2-11x-10
Therefore, the domain of the function exists on all real numbers.
Which is the function will exist for any given value of x.
Hence, the domain of the function is D = (-∞, ∞)
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Determine whether the function f(x)=-9-x^5+2x^3 is even, odd, or neiter.
f( x ) is an odd function
What is even or odd function ?The symmetry of a function is described using the terms even and odd. On a graph, an even function is symmetric about the y-axis. An odd function has symmetric behavior around a graph's origin (0, 0).
According to the given information
We are given with the function
f( x ) = [tex]-9-x^{5} + 2x^{3}[/tex]
For checking that the function is even or odd
Case 1
put -x in place of x
f ( -x ) = [tex]-9-(-x)^{5} + 2(-x)^{3}[/tex]
f ( -x ) = [tex]-9+x^{5} -2x^{3}[/tex]
f(x) ≠ f (-x)
Hence it is not an even function
So
f(-x) = -f(x)
hence
f( x ) is an odd function
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2.Lucas recorded the number of Calories he burned while jogging. The number of
Calories he burned while jogging is proportional to the number of minutes jogged.
Number of
Minutes, x
5
10
15
20
Calories Burned,
y
47.5
95.0
142.5
190.0
Part A. Write an equation that represents this relationship.
Part B. Find the constant of proportionality and interpret its meaning.
Answer:
Since the number of calories burned is proportional to the number of minutes jogged, we can represent this relationship using the equation y = kx, where y is the number of calories burned, x is the number of minutes jogged, and k is the constant of proportionality.
To find the value of k, we can use one of the given data points. For example, if x = 10 and y = 95, we have 95 = k * 10. Solving for k, we find that k = 9.5.
The constant of proportionality, k, has the meaning of the number of calories burned per minute of jogging. In this case, k = 9.5 calories/minute, so for every minute of jogging, the person burns 9.5 calories.
Step-by-step explanation:
Christian is 1.35 meters tall. At 10 a.m., he measures the length of a tree's shadow t
be 38.65 meters. He stands 34.4 meters away from the tree, so that the tip of his
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.35 m
•34-4 m
•38.65 m
It’s not 1.52
Answer:
The answer is 1.52.
Step-by-step explanation:
I don't know why it's not 1.52 no matter how I calculate it's 1.52
What is slope and y-intercept examples?
Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction and y-intercept of a line is the point at which the line crosses the y-axis.
Slope: Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction. It is typically represented by the m in the equation y = mx + b.
Example: A line with a slope of 2 would mean that for every increase of 1 in the x-direction, the y-value would increase by 2.
Y-intercept: The y-intercept of a line is the point at which the line crosses the y-axis. It is typically represented by the b in the equation y = mx + b.
Example: A line with a y-intercept of 4 would cross the y-axis at y = 4.
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please anyone help me with this question i need it ASAP!! all it’s asking is to Write the equation of a line perpendicular to y=2x-4 and
goes through the point (4,-1). please anyone help meee!!
Answer:
y = [tex]-\frac{1}{2}[/tex]x + 1
Step-by-step explanation:
y = mx + c
Find the reciprocal and change the sign of the gradient (m), which is -[tex]\frac{1}{2}[/tex]
so
y = [tex]-\frac{1}{2}[/tex]x + c
Put in your point that you want it to intersect (4,-1):
-1 = [tex]-\frac{1}{2}[/tex](4) + c
-1 = -2 + c
-1 + 2 = c
1 = c
y = [tex]-\frac{1}{2}[/tex]x + 1
3. Here is a quadrilateral ABCD with M as the midpoint of
segments AC and BD.
Prove: Angle ABM is congruent to angle CDM
Portfolio Question
Answer: Depends if AB and CD are equal, as they both have M in the same spot that can be eliminated, look at the quadrilateral and make a guess based off the information that AB and CD have to be equal
Step-by-step explanation:
Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50.
Select the equation that matches this situation.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
42.5p = 8.542.5p=8.542, point, 5, p, equals, 8, point, 5
(Choice B)
B
\dfrac{42.5}{8.5}=p
8.5
42.5
=pstart fraction, 42, point, 5, divided by, 8, point, 5, end fraction, equals, p
(Choice C)
C
p = 8.5 \cdot 42.5p=8.5⋅42.5p, equals, 8, point, 5, dot, 42, point, 5
The equation to know the number of people that can get pizza is p = 42.5 / 8.5
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this situation, Anna wants to celebrate her birthday by eating pizza with her friends and she has $42.50 and each pizza cost $8.50.
The equation that maths the situation will be:
p = 42.50 / 8.5
where P = number of people that can get pizza.
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Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0. R'(x) = 0.06x2 – 0.05x + 152 p(x) = 0
The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
Given that,
We have to find for the marginal revenue function, locate the demand function.
Remember that the income is zero if no things are sold:
R'(x) = 0.06x² - 0.05x + 152
p(x) is what.
We know that,
MR = dTR/dx = 0.06x² - 0.05x + 152
Integrating the marginal revenue function , we get total revenue function,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x
= (0.06x³)/3 - (0.05x²)/2 + 152 x
TR = 0.02 x³ - 0.025 x² + 152 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 152 x
P = ( 0.02 x³ - 0.025 x² + 152 x)/x
P = 0.02x² -0.025x + 152
Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
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Find the length of side x in simplest radical form with a rational denominator.
The side x of the right angle triangle is 6√3 units.
How to find the sides of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sides of a right triangle is named according to the position of the angle. The side of a right triangle are as follows:
hypotenuse sideopposite sideadjacent sideThe hypotenuse side is the longest side of a right triangle.
Therefore, let's find the x side of the right triangle using trigonometric ratios.
tan 60 = opposite / adjacent
opposite side = x
adjacent side = 6
tan 60 = x / 6
cross multiply
x = 6 tan 60
x = 6 × √3
x = 6√3
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Customers at a restaurant were surveyed to see which type of service they had during their visit (table service, assisted service, or self-service) and their age (18 years or younger or over 18 years old). The results of the survey were displayed in a segmented bar chart.
Which of the following describes this data set?
Categorical and univariate
Numerical and univariate
Categorical and bivariate
Numerical and bivariate
Since the customers were surveyed to see which type of service they had during their visit and their age, the data type which best describes this data set is: C. categorical and bivariate.
What is a categorical data?A categorical data can be defined as a type of statistical data that is typically used to group information that are having the same attributes or characteristics.
In Science, some examples of a categorical data include the following:
RaceReligionAgeGenderClassWhat is a bivariate data?A bivariate data can be defined as a data set which comprises information that are based on two (2) variables, usually two types of related data.
In conclusion we can reasonably infer and logically deduce that the data set above would result in data that are categorical and bivariate.
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i dont konw how to do this. someone help
Answer:
This is the slope intercept formula used for make a line graph
Step-by-step explanation:
In the expression:
y = mx + b
m will equal your slope which is represented by rise/run
Example: 1/2, 2, 5, 3/8 etc.
b represents your y-intercept which is the point where the line hits the y-axis
For example: if the y - intercept is -2 then your line graph will cross through (0,-2) in the coordinate plane
All together, the equation for the line would look something like:
y = 1/2x - 2
Hope this helps! :D
A line passes through the points (-6,-8) and (-3,-7) what is the equation of the line in Slope Intercept Form
A
B
C
D
shown in picture
Answer:
Your answer is B) [tex]y=\frac{1}{3}x-6[/tex]
there are 14 members in a club: in the club, 4 are woman. how many ways are there to choose 10 member committess if atleast two of the commitee members must be woman
Answer:
a lot
960
Step-by-step explanation:
Since there are 4 woman in total, there are 14-4=10 men.
Part 1
They can choose either 2 women, 3 women, or 4 woman.
If they choose 2 out of the 4 woman, they can have 6 different combinations.
4!/(2!(4-2)!)
=24/(2(2!))
=24/4=6
There are 8 remaining men to be chosen on the committee (because 10-2=8).
There are 10 total men and 8 men need to be chosen out of them, so the number of combinations for men is given below.
10!/(8!(10-8)!)
=10!/(8!(2!))
Instead of multiplying out 1x2x3x4x5x6x7x8x9x10 to find 10!, we can divide 8! from both the numerator and denominator to simplify it. This leaves the numerator with 9x10, which is 90, and the denominator with 2!, which is just 2.
90/2=45
Now we need to multiply 45 (number of combinations to choose 8 men from 10 men) and 6 (number of combinations to choose 2 women from 4 woman).
45x6=270 combinations if 2 woman are chosen
Part 2
Next we need to find out how many combinations there are if they choose 3 women for the committee.
If they choose 3 out of the 4 woman, they can have 4 different combinations.
4!/(3!(4-3)!)
=24/(6(1!))
=24/6=4
There are 7 remaining men to be chosen on the committee (because 10-3=7).
There are 10 total men and 7 men need to be chosen out of them, so the number of combinations for men is given below.
10!/(7!(10-7)!)
=10!/(7!(3!))
Instead of multiplying out 1x2x3x4x5x6x7x8x9x10 to find 10!, we can divide 7! from both the numerator and denominator to simplify it. This leaves the numerator with 8x9x10, which is 720, and the denominator with 3!, which is 6.
720/6=120
Now we need to multiply 120 (number of combinations to choose 7 men from 10 men) and 4 (number of combinations to choose 3 women from 4 woman).
120x4=480 total combinations if 3 women are chosen
Part 3
If 4 women out of 4 women are chosen for the committee, then obviously, there will only be 1 combination for that, since all the women will be chosen.
This leaves us with 10-4=6 spots for men in the committee.
There are 10 total men and 6 men need to be chosen out of them, so the number of combinations for men is given below.
10!/(6!(10-6)!)
=10!/(6!(4!))
Instead of multiplying out 1x2x3x4x5x6x7x8x9x10 to find 10!, we can divide 6! from both the numerator and denominator to simplify it. This leaves the numerator with 7x8x9x10, which is 5040, and the denominator with 4!, which is 24.
5040/24=210
Now we need to multiply 210 (number of combinations to choose 6 men from 10 men) and 1 (number of combinations to choose 4 women from 4 woman).
210x1=210 total combinations if 3 women are chosen
Part 4
Finally, we need to add all the final answers from the previous parts.
270+480+210=960 total combinations if at least 2 women were chosen for the committee
Please let me know if you find any errors
Substitute
- 8x = 5y +24
-9y=40-8x
By using substitution method the values of x and y are, x = -1/7 and y = -32/7.
What is substitution method?
The substitution method is typically used in mathematics to solve an equation system. In this approach, you solve the equation for one variable first, then you enter its value into the other equation.
Consider, the given equations
-8x = 5y + 24 ..(1)
-9y = 40 - 8x ..(2)
From equation (1),
x = -(5y + 24)/8
x = -5/8y - 3 ..(3)
Plug value of x in equation (2),
-9y = 40 - 8(-5/8y - 3)
-9y = 40 + 5y + 24
-14y = 64
y = -64/14
y = -32/7
Plug y = -32/7 in equation (3)
x = -5/8(-32/7) - 3
x = -1/7
Hence, by using substitution method the values of x and y are, x = -1/7 and y = -32/7.
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Write the equation of the line parallel to
Y= 2x+ 3 that passes through the
point (6, -9).
The parallel line has an equation of y = 2x - 21
How to determine the line equation?The equation is given as
y = 2x + 3
The equation of a line can be represented as
y = mx + c
Where
slope = m
By comparing the equations, we have:
m = 2
The slopes of parallel lines are equal
This means that the slope of the other line is 2
i.e. m = 2
Recall that:
The equation of a line can be represented as
y = mx + c
Where
slope = m = 2
Also, we have
(x, y) = (6, -9)
So, we have
-9 = 2 * 6 + c
This gives
c = -9 - 12
Evaluate
c = -21
So, we have
y = 2x - 21
Hence, the equation of the parallel line is y = 2x - 21
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The athletic department at a college surveyed a random sample of students.
The probability that a student visited the athletic complex regularly (at least once per week) was 0.15.
The probability that a student tried out for one of the sports teams was 0.16.
The probability that a student both visited the athletic complex regularly and tried out for one of the sports teams was 0.12.
What is the probability that a student visited the athletic complex regularly, given that he or she tried out for a sport?
0.31
0.43
0.75
0.8
Answer:
Step-by-step explanation:
The required probability is 0.75 that a student visited the athletic complex regularly, given that he or she tried out for a sport.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that a student visited the athletic complex regularly, given that he or she tried out for a sport. This is known as the conditional probability of visiting the athletic complex regularly, given that the student tried out for a sport.
The formula for calculating conditional probability is:
P(A|B) = P(A and B) / P(B)
In this case, A is the event "visited the athletic complex regularly" and B is the event "tried out for a sport."
Substituting the given probabilities into the formula, we get:
P(A|B) = P(A and B) / P(B)
= 0.12 / 0.16
= 0.75
Therefore, the probability is 0.75, which is the correct answer that would be option (C).
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The table shows a proportional relationship between x and y.
x 12 16 28
y 3 4 7
Describe the graph of the proportional relationship, in words.
A line beginning at point (0, 0) and continuing through the point (4, 12).
A line beginning at point (0, 0) and continuing through the point (28, 7).
A line beginning at point (12, 4) and continuing through the point (7, 28).
A line beginning at point (12, 4) and continuing through the point (4, 16).
A line beginning at point (0, 0) and continuing through the point (28, 7) describes the graph of the proportional relationship. 2nd option is the answer
How to describe the graph of the proportional relationship in words?
Given: the proportional relationship
x 12 16 28
y 3 4 7
In order to know the beginning of the line, we need to find the y-intercept.
The equation of a line is of the form
y = mx + c
where m is the slope and c is the y-intercept.
m = y2-y1 /x2-x1
m = 4-3 / 16-12 = 1/4
y = mx + c
3 = 1/4(12) + c
3 = 3 + c
c = 0
Thus, the beginning of the line is (0, 0).
The coordinate of a line or graph is written in the form (x, y). Therefore, the line begins at point (0, 0) and continues through point (28, 7).
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Someone Please Please Answer this (20 POINTS)
Answer:
Step-by-step explanation: Simple plug x in.
x=1
(Square root) 4 -1=1
x=6
(square root) 9 -1=2
x=13
(square root ) 16-1=3
x=1 Y=1
x=6 Y=2
x=13 Y=3
PLEASE GIVE ME BRAINLIEST THXSlope is -4, and (3, 4) is on the line.
What is a slope in math?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.
-3= -4(4) +b
-3= -16+b
+16 +16
13= b
This tells us that b=13, now we simply substitute that into the formula.
The solution to your question is y=-4x+13
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