Answer
$y=-4x-3$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form of linear equations, the equation of the line passing through $(
-2,5
)$ and with slope, $m=
-4
,$ is
\begin{array}{l}\require{cancel}
y-5=-4(x-(-2))
\\\\
y-5=-4(x+2)
\\\\
y-5=-4x-8
\\\\
y=-4x-8+5
\\\\
y=-4x-3
.\end{array}