Answer
$y=-\frac{1}{4}x-2$
Work Step by Step
$f(4)=-3$ can be written as $(4,-3)$ and $f(0)=-2$ as $(0,-2)$.
Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-2-(-3)}{0-4}=\frac{1}{-4}=-\frac{1}{4}$
Because the line crosses the y-axis at $(0,-2)$,
Y-intercept $b=-2$.
Equation of line in the slope-intercept form is
$y=mx+b$.
Substituting the values of $m$ and $b$, we get an equation of line as
$y=-\frac{1}{4}x-2$
