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

Jan 18, 2016

We can convert to the slope intercept form, $y = m x + b$ by isolating $y$, and then read the slope ($m$) and intercept ($b$) from the equation.

#### Explanation:

We can isolate $y$ by first moving the $x$ term, and then eliminating the coefficient of $y$

$- 2 x - 3 y = 1$

We can move the x term by adding $2 x$ to both sides:

$\cancel{2 x} - \cancel{2 x} - 3 y = 1 + 2 x$

and clear the $y$ coefficient by dividing both sides by $- 3$

$\frac{\cancel{- 3} y}{\cancel{- 3}} = \frac{1 + 2 x}{-} 3$

and then we can tity and rearrange to get our slope-intercept form:

$y = - \frac{2}{3} x - \frac{1}{3}$

So the slope and intercept are $- \frac{2}{3}$ and $- \frac{1}{3}$, respectively.