Question

hi if someone wouldn’t mind doing this that would be great!!! 100 points im just desperate i need a whole bunch of stuff done tomorrow, thank you! :)

Answer 1

1. y=2x−5

2. y=-x-4

3. y=-1/2x+1

Explanation:

First Question:

We are given (3, 1) and (1, -3)

The slope is the difference of y-values over x-values. From this we get:

(1−−3)/(3−1)=4/2=2

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (3, 1) gives us 1=3∗2+b ⇒ b=1−6 = −5

We have our slope and y-intercept now, so the equation is y=2x−5.

Second Question:

We are given (-4, 0) and (1, -5)

The slope is

(-5-0)/(1--4)=-5/5=-1

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (-4, 0) gives us 0 = -1∗-4+b ⇒ b = -4

We have our slope and y-intercept now, so the equation is y=-x-4.

Third Question:

We are given (-6, 4) and (-2, 2)

The slope is

(4-2)/(-6--2)=2/48=-1/2

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (-2, 2) gives us 2 = -1/2∗-2+b ⇒ b = 2-1 = 1

We have our slope and y-intercept now, so the equation is y=-1/2x+1