Peter H. answered • 12/04/20

Full Time Mechanical Engineer + Tutor

Hi Ella!

Slope intercept form is as shown:

y = mx + b

where:

y is the y axis value

m is the slope

x is the x value

b is the y intercept

First, we find the slope using the two points. Slope is the rise/run or the y change / x change.

(-5) - 5 = -10 is the change in y

(-4) - (-2) = -2 is the change in x

This means the slope is:

m = (-10)/(-2) = 10/2 = 5

y = 5x + b is our equation so far! We just need to find b. To do that, let's plug in the first point.

5 = 5(-2) + b

5 = -10 + b

15 = b; b = 15

plug this in to our equation to get:

y = 5x + 15

Hope this helps!