So with these equations we need to find the y-intercept and the slope because:
y = mx+b
y = f(×)
b = y-intercept
m = slope (slope = rise/run, rise over run)
rise is y-axis
run is x-axis
The y-intercept is (0,-2)
So now we know that one of the answers must have -2 in it
b = -2
m= rise/run = -2/3
The answer is:
[tex]f(x) = - \frac{2 }{3 } x - 2[/tex]