Verified Answer :

f(x) = 1/5 x - 2

-2 is your y intercept and using (y-y)/(x-x) you can get slope 

 (-1 - - 2)/ (5-0) = (-1+2) / (5) = 1/5

TSO

y = mx + b

m is the slope
b is the y-intercept

First find the slope

\(slope = \frac{y_2-y_1}{x_2-x_1} = \frac{-1+2}{5-0}= \frac{1}{5}\)

So far we have: y = 1/5x + b

Now we need to find b

y = 1/5x + b

Plug in (0,-2)

-2 = 1/5(0) + b

-2 = b

So the final equation is \(\boxed{y=\frac{1}{5}x-2}\)

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