
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!