Find the equation of the line between the points (10, – 5) and ( - 2,0).

Answers

Answer 1

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]

Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]


Related Questions

How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?

Answers

Answer: I believe 20 1/2 cm cubes would fit in the rectangular prism

Step-by-step explanation:

Justin rented a car from Hertz for 5 hours. There was a rental fee of
$25. Luis rented a truck from Enterprise for 3 hours. He paid a $50
rental fee. Both Justin and Luis spent the same amount and both
companies have the same hourly rental fee. Write and solve an
equation to determine the hourly rental fee.

Answers

25 is the correct answer

Which is the slowest reading rate? *

2 points

4 pages in 10 minutes

5 pages in 13 minutes

3 pages in 9 minutes

7 pages in 20 minutes

Answers

answer: 4 pages in 10 minutes
explanation: 2.5min/page

5. Write an equation that models exponential decay.

Answers

Answer:

Step-by-step explanation:

y = ab^x where 0<b<1 for exponential decay

an example would be y = 3(1/7)^x

T=2π√h+k /gh. Find k given that 2π2= 10​

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Answer:

Bne matematikçi değilim^o^

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Answer:

You didn't post it up for me to see, I can try to help.

Someone please help and please hurry due in 13 minutes :(

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answer: corresponding

To whom shall answer...
BY THE POWER INVESTED IN ME!! I SHALL.. MARK THE BRAINLIEST!!!

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Answer:

Step-by-step explanation:

2.8 x 10^3

Answer:

2.8x×10³

Step-by-step explanation:

What is the volume of a prism with a length of 3 units, a width of 6 units, and a height of 2 units?

Answers

Answer:

36 units³

Step-by-step explanation:

The volume of a rectangular prism is given by

Volume, V = l * w * h, where

V = volume like I had stated

L = length of the prism

w = width of the prism

h = height of the prism

Going by the aforelisted parameters, we can apply them to the formula to get our answer straight

Volume, V = 3 * 6 * 2

Volume, V = 36 units³

Therefore, the volume of the prism is 36 units³

Simplify (3x + 2)(4x - 7). Write your answer in standard form.

Answers

Answer:

noninvasive I will not pay any fee in full and the other fees for my undergraduate degree

Jason collected 40 postcards. Of these, 16 were from foreign countries. What percent were from foreign countries?
%

Answers

Answer:

40%

Step-by-step explanation:

Total no. of postcards = 40

No. of postcards from foreign countries = 16

Percentage of postcards from foreign countries = (16/40)*100

=40%

7x -2(x-11)=-103
what is x

Answers

Answer:

the answer is x=−25

Step-by-step explanation:

hoped I helped:)

Answer:

7x-2x+22=-103

5x. =-103-22

5x =-125

X.=-25

pls help fastttttttttt

Answers

Answer:

There would be more total energy at position B

I think the answer is A.

What is the additive inverse of the complex number 9 – 4i? –9 – 4i –9 + 4i 9 – 4i 9 + 4i

Answers

Answer:

-9+4i

Step-by-step explanation:

Additive inverse + 9-4i = 0,

therefore additive inverse = -9 + 4i

Answer:

B. -9+4i

Step-by-step explanation:

Just took the Pre-Test on Edg. !!


In a square of side length s, what is the length of a diagonal?
A)1
S2
B)2s
C)Vs
D) sV 2

Answers

Answer:

Option A) it has square roots of 2 is the answer

ill mark brailist plss help

Answers

The answer to your question is 3 43/65

Graph the linear equation 7x+4y=-28

Answers

Answer:F

Step-by-step explanation:

Please help I don't understand this math question!

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Answer:

She multiplied 15x12 instead of calculating all of the numbers. The carpet is not a rectangle so therefore it cannot measure exactly 180 if that whole part it missing.

Step-by-step explanation:

30 POINTS // URGENT

On the first day of a sale, a camera was reduced by $21.60. This represented 12% off the original price. On the last day of the sale, the camera was sold for 70% of the original price. What was the final selling price of the camera?

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Repost.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer:

54$ is the final selling price of the camera

why is 15 + 1/2 an algebraic expression?

Answers

Answer:

There is no equal sign.

Step-by-step explanation:

There is no equal sign to make it an algebraic equation.

Answer:

15+1/2

=15+0.5

=15.5

Ans: 15.5

Sam and Jennifer are saving money for college. Sam has saved $2000 and will save $60 more each week. Jennifer has saved $2500 and will save $55 more each week.​

Answers

Answer: what the question

Step-by-step explanation:

A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?


A. $0.40; $5.13


B. $1.75; $2.15


C. $0.40; $1.08


D. $2.15; $2.83

Answers

Answer: THE ANSWER IS D. $2.15; $2.83

a taxi company charges passengers 1.75 for a ride,?

a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.  

what is the charge for 2.7 mile ride

A.    5.13

B.    1.08

C.    2.15

D.    2.83

Favorite Answer

D  2.83

c = 0.4. * 2.7 + 1.75

=> c = 2.83

Step-by-step explanation: It Looks Like The Answer is D

c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer

1.75+(2.7*.4)=

1.75+1.08=

2.83

The answer is $2.83

Can i get help please with this math question

Answers

Answer:

B

Step-by-step explanation:

1.25 is incorrect becuase 25% is .25 not 1.25

Multiply your answer in the first question (the number of
3
weeks) by Did you get 3 as a result? If not, revise
4
your previous work.


A. Yes, I got 3.

B. No, I did not get 3. I had to revise my previous work.

Answers

The lines on a basketball form a half circle at the free throw line. Use the picture to determine the area of the half circle. Round your answer to the nearest tenth.

I need help with this.
I need to find both A and B, I’m just lost at this point

Answers

They both look to be at 100 degrees

Deborah bought a computer for 25% off the list price.
Deborah bought a computer for 25% off the list price.

Answers

Answer:

how much was the computer or smth i need more information

Step-by-step explanation:

for fnej pls answer correctly if u r going to answer whoever else ty!! :)

Answers

Answer:

Image 1:

1) True (Intersection is (2, 140)

2) False

3) Not sure, but I'm leaning towards F

4) True

Image 2: -4

Step-by-step explanation:

y = 50x + 40

y = 60x + 20

y = 50(6) + 40 = 340

y = 60(6) + 20 = 380

140 = 50x + 40

50x = 100

x = 2

140 = 60x + 20

60x = 120

x = 2

Image 2:

y= mx+b

y = -0.5x - 4

b is the y intercept

Edison delivers
1/5 of the newspapers in the neighborhood, and Anita
delivers 1/2 of them. after edison and antia deliver the newspaper, what fraction of the newspaper remain

Answers

Answer:

the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The computation of the fraction of the newspaper remains is shown below:

[tex]= \frac{1}{2} - \frac{1}{5} \\\\= \frac{5 - 2}{10} \\\\= \frac{3}{10}[/tex]

Hence, the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]

we simply deduct these two fractions so that the remaining fractions could come

lucy works for 37 hours per week. her weekly wage is £303.40. she receives a pay increase of 25p per hour. work out her new weekly wage

Answers

Answer:

312.65

Step-by-step explanation:

The new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Lucy works for 37 hours per week.

Weekly wage = $303.40

Per hour wage = 303.40/37 = $8.2 per hour

1 dollar = 100 penny(p)

25p = $0.25

New wage per hour = 8.2 + 0.25 = $8.45

Total wage = 8.45×37 = $312.65

Thus, the new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.

Answers

Answer:

should be either b or c

Step-by-step explanation:

Answer:

Mean: 4.6666666

Mode: 5.5

Range: 6

75%

Step-by-step explanation:

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