Answer
$\color{blue}{y=mx-mh+k}$
Work Step by Step
Multiply $m$ to both sides of the equation:
$m \cdot \dfrac{y-k}{m}=m(x-h)
\\y-k=m(x-h)
\\y-k=mx-mh$
Add $k$ to both sides of the equation:
$y-k+k=mx-mh+k
\\\color{blue}{y=mx-mh+k}$