# How do you find the slope and intercept of 2/3x+1/6y=2?

Jul 1, 2016

Slope: -4

Intercept: 12

#### Explanation:

$\frac{2}{3} x + \frac{1}{6} y = 2$ (Subtract $\frac{2}{3} x$ from both sides)

$\frac{1}{6} y = - \frac{2}{3} x + 2$ (Now multiply both sides by 6)

$y = - 4 x + 12$

The slope is the coefficient in front of x.(-4)

The intercept is the number with no variable (12)