# How do you find the slope of the line parallel to 3x-6y=18?

Apr 3, 2015

To make life easier, you first divide everything by $3$

$\to x - 2 y = 6$ now add $2 y$ to both sides and subtract $6$

$\to x - 6 = 2 y$ divide both sides by $2$
$\to \frac{1}{2} x - 3 = y \to y = \frac{1}{2} x - 3$

Where $\frac{1}{2}$ is the slope, and $- 3$ is the $y$-intercept
All parallel lines will have the same slope.
graph{0.5x-3 [-6.79, 13.21, -5.84, 4.16]}