A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

[tex]y = \frac{1}{4} x[/tex]  

Step-by-step explanation:

1) First, find the slope of the equation. Use 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{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]

Thus, the slope is [tex]\frac{1}{4}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. 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, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]


Related Questions

What is -5b +-2=-29? Worth 23 points!

Answers

Answer:

b = 5.4

Step-by-step explanation:

-5b - 2 = -29

      +2    +2  

-5b = -27

divide by -5

b = 5.4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?

Answers

Answer:

one is 2 inches bigger that the other.

Step-by-step explanation:

becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .

Can some help with this quickly ?

Answers

Answer:

its not showing pic for me

WILL MARK BRAINLIEST ONLY HAVE 5 MINUTES EXTRA POINTS

Answers

Answer:

A - 8 out of 71

Step-by-step explanation:

I’m guessing a, if I’m right can you mark brainliest!

are 4x and 15 + x equivalent expressions? Explain your reasoning

Answers

Answer:

no.

Step-by-step explanation:

4x means 4 times any given number

15 + x means take any number and add 15.

if x = 2, 4x = 8

if x = 2, 15 + x = 17

Can’t be bothered to do the rest so I need the answers

Answers

Answer:

25.=0.06

26.=0.03

27.=0.12

28.=0.21

29.=0.21

30.=0.31

31.=0.34

32.=0.16

33=0.34

34.=0.04

35.=0.06

36.=0.15

37.=0.24

38.=0.36

39.=0.25

40=0.09

41=0.35

42=0.14

43=0.15

44=0.24

45=0.53

46=0.42

47=0.31

48=0.35

49=0.35

50=0.24

51=0.54

52=0.05

53=0.24

54=0.68

55=0.19

56=0.51

57=0.66

58=0.43

59=

60=

Am missing some don't got time to go over

Step-by-step explanation:

pls answer this-.....​

Answers

AnswerS:

Let A be the surface area, b the base, h the height;

h₁=8.4 cm

h₂=7.8 cm

b= 9 cm

A= 3(1/2bh₁)+1/2 bh₂

A=3(1/2(9)(8.4))+1/2 (9)(7.8)

A= 148.5 cm³

Answer:

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as:  

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface are

What is the equation of the line in slope intercept form?

Answers

Answer:

y=x-4

Step-by-step explanation:

please help get this right please I'm nut sire if it right​

Answers

Yes this answer is correct -2/3

What is the value of x in the following triangle?

Answers

Answer:

x=-10/3

Step-by-step explanation:

Answer: x = 17

Step-by-step explanation:

Triangle angle sum theorem states the three interior angles of a triangle sum to 180 degrees. Add all of the angles together and set equal to 180 to solve for x.

(3x)+(6x+10)+x= 180. Combine like terms.

10x + 10= 180. Subtract 10 from both sides.

10x = 170. Divide both sides by 10.

X = 17

Pls help extra points and mark brainlist o

Answers

Answer:

A.

Hope that helps!

Step-by-step explanation:

Answer:

A. 3x = 6

Step-by-step explanation:

I hope this can help!

Have a nice day!

A circle garden has a diameter of 12 yards what is the area of the garden use 3.14 for pie

Answers

Answer:

37.7 ft

Step-by-step explanation:

How many cups are in 16 gallons?

64
256
128
2,048

Answers

Answer:

256 cups

Each gallon has 16 cups so 16 gallons would have 16*16 cups. 16*16 = 256

In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.

Dawn removes two cards, without replacement.

What is the probability that Dawn removed two black cards?





What is the probability that Dawn removed a diamond and a spade?





What is the probability that Dawn removed two face cards?

Answers

Answer:

Byhrnegngrnhumhrnim jmmumtjmmtjmtj

PLZZZZZZZZZZZZZZZZZ HELP WILL MARK BRAINLIEST 84 POINTS
1 + 2=

Answers

Answer: 3

Step-by-step explanation: 2 is 1 and 1 put together plus another 1 makes 3

98.8% of 668.49km NEED ANSWERS QUICK

Answers

Answer:

the answer would be  660.46812 km

Step-by-step explanation:

The computation is shown below:

According to the question it is mentioned what is the 98.8% of 668.49 km

So, it would be

= 98.8% of $668.49 km

= 98.8% × 668.49 km

= 660.46812 km

Hence, the answer would be  660.46812 km

6) A garden is 90m long and 50m wide. A path of 5m width is built outside and around it.
Find
(1) the area of the path
(11) the cost of cementing the path at the rate of Rs 250 per mº​

Answers

It’s 837 this is the path

help do not scam me ok I will give 40 points

Answers

Answer:

C. Preform calculations on my own and compare them to Roberto’s.

Step-by-step explanation:

His calculations do not match the line plot. He doesn’t account for every mark on the plot.

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?

Answers

55x+90y=1900
x+y=25, x=25-y
55(25-y)+90y=1900
1375-55y+90y=1900
35y=525
y=15
So it is 15 for the 90$ and 10 for the 55$

What is 75% of 162? Show your work and/or explain your reasoning.

Answers

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

75 percent of 162 is 121.5

Answer:

121.5

Step-by-step explanation:

| percantage x 100% |

75/100 x 162 = 121.5

Which ratio expresses the scale used to create this drawing? The post office has dimensions of 36 meters by 90 meters. A. B. C. D. if i dont do this i cat watch wandavision finale plssssssss asap

Answers

Answer:

c.

Step-by-step explanation:

i did the test

Answer:

C

Step-by-step explanation:

Help please, just guess and you will be reported show your work.​

Answers

Answer:

triangle and conceit is the total and correct

6. The figure below shows a rectangular warden that has a walkway entending
diagonally through the center. What is the approtimate perimeter of the
garden? (Gl 4 W ='')
50 ft
A) 30 it.
B) 90 ft,
C) 140 ft,
D) 1200 it,

plz help​

Answers

Answer:

C: 140ft

I hope it helps

Can someone help mee

Answers

Answer:

Check pdf

Step-by-step explanation:

Answer the question

Answers

A) that he loses 85% of his investment monthly

Any help anyone? Running out of time

Answers

What are the choices

The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 mi downstream. What is the speed
the person's kayak in still water?
The speed of the person's kayak in still water is

Answers

Answer:

8

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

[tex]\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.[/tex]

Max wants to cover this rectangle with blue tiles I estimate that there would be

Answers

I have no idea. Where is the diagram.

Misha and Nora want to buy season passes for a ski lift but neither of them has the $225 needed to purchase a
pass. Nora decides to get a job that pays $6.25 per hour. SHe has nothing saved right now but she can work four
hours each week. Misha already has $80 and plans to save $15 of her weekly allowance. Who will be able to
purchase a pass first? Show all your work and explain your reasoning.

Answers

Answer:

Step-by-step explanation know him just a joke just know class kids know from its young

-12(x - 3) - (2x - 6) = 60

Answers

Answer:

x=-9/7

Step-by-step explanation:

Answer:-12(x - 3) - (2x - 6) = 60

= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF

Step-by-step explanation:

EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN

Other Questions
HURRY HELP i need helppp Which are lymphocytes? plz help this is so hard How did some Native Americans avoid reservations? They joined the U.S. Army. They fled to Mississippi. They escaped to Canada. They left for South Dakota. please help with maths ! Please give me the correct answer.Only answer if you're very good at math. How have scientists discovered the structure of atoms?a.By looking at them under a microscopeb. By running experiments that expose their propertiesc. By examining only the largest atoms.d. Bysplitting them apart. Kennedy buys cell phone cases for $4.50 and sells them to her friends for $18.00. What is the percent mark-up?(HINT: use the percent of change method) What is exine is made up of????what's wrong in asking these types to Question.. it's based on studies There are 20 girlsand 12 boys in a class.What would be the probability ofrandomly selecting a girl? (Decimals please) In what ways does the struggle for freedom change with history Which methods can be used to run a query? Check all that apply.On the Create tab, in the Queries group, click Run.In query Design view, on the Design tab, click Run.Switch to Datasheet view before any other commands.Close the Show Table dialog box in the Datasheet view.On the Create tab, in the Queries group, click Create Query. What were the important effects of the tactics adopted by the united states ground forces in vietnam Identify the shape below:PLEASE HELP What kinds of tissues are involved when this girl uses the head tickler? Explain your answer in 3-5 sentences. PLZ HELP passes through (-3,-10) and has vertex (3,-8) The molar mass of two equally sized samples of unknown gaseous compounds is shown in the table. Molar Mass Comparison Gas Molar Mass A 17 g/mol B 36.5 g/mol Which statement describes the density and diffusion of both gases at STP? Gas A has a higher density and diffuses faster than Gas B. Gas A has a higher density and diffuses slower than Gas B. Gas A has a lower density and diffuses faster than Gas B Gas A has a lower density and diffuses slower than Gas B. Fusion has already been demonstrated as an energy source, albeit on a limited scale. Engineers hope to transform the scale to provide energy at commercial levels. A loan for development of a niche application has been taken out by an engineering research firm, borrowing $900,000. The loan will be paid back over 5 years with uniform quarterly payments and an interest rate of 10 percent compounded quarterly.What is the equal quarterly amount to be paid? XZW XYV find the perimeter of XZW? PLS HELP Rewrite the following expression using exponents1/16