Write the slope intercept inequality (0,2) (-1,-2)

Hey there! :)

(0, 2) & (-1, -2)

Slope-intercept form is : y=mx+b , where m=slope, b=y-intercept

First, we must find the slope using the slope formula, which is :

m = y2-y1/x2-x1

Where y2 = -2 ; y1 = 2 ; x2 = -1 ; x1 = 0

Now, let's plug and chug! :)

m = (-2 - 2) / (-1 - 0)

Simplify.

m = -4/-1 --> Therefore, our slope is : m = 4

Now that we have the slope, we can plug this (and our original coordinates) into point-slope form, which is : y - y1 = m(x - x1) -> use the coordinates (0, 2)

y - 2 = 4(x - 0)

Simplify.

y - 2 = 4x

Add 2 to both sides.

y = 4x + 2

Hope this helped! :)