# How do you graph using slope and intercept of -1x - 6y = 4?

Jun 2, 2017

See below.

#### Explanation:

Convert to slope-intercept form:

$y = m x + b$

where $m$ is the slope and $b$ is the y-intercept.

$- 1 x - 6 y = 4$

Add $1 x$ to both sides of the equation.

$- 6 y = 4 + x$

$6 y = - x - 4$

Divide both sides of the equation by $6$.

$y = \left(- \frac{1}{6}\right) x - \frac{4}{6}$

So this line has slope of $- \frac{1}{6}$ and a y-intercept of $- \frac{2}{3}$.

graph{y= (-1/6)x-2/3 [-10, 10, -5, 5]}