Need help with math ASAP steps

Question

Find the slope intercept form equation for

(0,3)

(-5,1)

Answer 1

First find the slope using the slope equation.

m = (y₂ - y₁)/(x₂ - x₁) = (1 - 3)/(-5 - 0) = -2/-5 = 2/5

Then plug that into the generic slope intercept equation y = mx + b so it becomes:

y = (2/5)x + b

Now, pick one of the points, we'll do (0, 3) and plug it in as the x and y (x = 0, y = 3) so you can solve for "b":

3 = (2/5)(0) + b

b = 3

So the equation is y = (2/5)x + 3