Question

PLEASE HELP ME!!! WORTH 10 POINTS!!!

Answer 1

Point-slope formula : y - y₁ = m(x - x₁) ; passes through (1, 2)

We first need to find the slope.

Slope formula : m = y₂-y₁ / x₂-x₁

The graph gives us 2 points : (1, 2) & (-1, -2)

Simply plug everything in! :)

m = -2 - 2 / -1 -1 

Simplify.

m = -4/-2

Simplify.

m = 2

So, our slope is 2.

Now that we have the slope as well as a plot, we can plug this into the point-slope formula. 

Remember : y - y₁ = m(x - x₁) is the point-slope formula.

m = 2 ; Passes through (1, 2)

Plug everything in :)

y - 2 = 2(x - 1)

~hope I helped!~

Answer 2

First, solve for slope.
Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in values: $\frac{-2-2}{-1-1} = - \frac{4}{2} = 2$
Slope: $2$
Second, we must plug into point-slope form. 
Formula for point-slope: $y-y1=m(x-x1)$
Plug in the values: $y-2=2(x-1)$

And there you have your answer in point-slope form