Answer
$y=-3x+10$
Work Step by Step
Using $y=mx+b$ or the slope-intercept form of linear equations, the given equation, $
y+2=-3(x-4)
,$ is equivalent to
\begin{array}{l}\require{cancel}
y+2=-3x+12
\\\\
y=-3x+12-2
\\\\
y=-3x+10
.\end{array}