# How do you find the slope and intercept of –2x – 3y = 9?

Mar 21, 2017

Slope:$- \frac{2}{3}$

Y-intercept: $3$

#### Explanation:

Solve for y. Add 2x on both sides:

$- 2 x - 3 y + 2 x = 9 + 2 x$

$- 3 y = 9 + 2 x$

Divide by -3 to everything:

$- 3 \frac{y}{-} 3 = \frac{9}{-} 3 + 2 \frac{x}{-} 3$

$y = \left(- \frac{2}{3}\right) x + 3$

Now it's in the form $y = m x + b$ where m is the slope and b is the y-intercept.

Slope:$- \frac{2}{3}$

Y-intercept: $3$