# What are the intercepts of -x-4y=9?

Apr 14, 2018

color(brown)("x-intercept " = a = -9, " y-intercept " = b = -9/4

#### Explanation:

$- x - 4 y = 9$

$\frac{x}{-} 9 + \left(- \frac{4}{9}\right) y = 1$

$\frac{x}{- 9} + \frac{y}{- \frac{9}{4}} = 1$

It's in the intercept form $\frac{x}{a} + \frac{y}{b} = 1$

:. color(brown)("x-intercept " = a = -9, " y-intercept " = b = -9/4