# How do you find the slope parallel to -15 +3y = -12x?

May 29, 2015

A linear equation which can be expressed in the form
$\textcolor{w h i t e}{\text{XXXXX}} y = m x + b$
has a slope of $m$
and so do all lines parallel to it.

$- 15 + 3 y = - 12 x$

$\rightarrow 3 y = - 12 x + 15$

$\rightarrow y = - 4 x + 5$

All lines parallel to $- 15 + 3 y = - 12$ have a slope of $\left(- 4\right)$