# What is the slope of 1/6y=2/3y-5/12x+1?

Dec 23, 2015

$m = \frac{5}{6}$

#### Explanation:

$\frac{1}{6} y = \frac{2}{3} y - \frac{5}{12} x + 1$

$\frac{1}{6} y - \frac{2}{3} y = - \frac{5}{12} x + 1$

$- \frac{1}{2} y = - \frac{5}{12} x + 1$

Multiply both sides by $- 2$ to get

$- 2 \cdot \left(- \frac{1}{2} y\right) = - 2 \cdot \left(- \frac{5}{12} x + 1\right)$

$y = \frac{5}{6} x - 2$

$m = \frac{5}{6}$