# How do you find the slope given -x=2y-6?

Jul 16, 2015

I found: slope$= - \frac{1}{2}$

#### Explanation:

I would change your equation into slope-intercept form by isolating $y$ on one side and "read" the value of the slope directly.
So:
$2 y = - x + 6$
$y = - \frac{1}{2} x + \frac{6}{2}$
$y = - \frac{1}{2} x + 3$
The slope will be the numerical coefficient of $x$, i.e., $- \frac{1}{2}$