# What are the intercepts of -x-9y=14?

Apr 14, 2018

 color(green)("x-intercept " = a = -14, " y-intercept " = b = (-14/9)

#### Explanation:

$- x - 9 y = 14$

$- \frac{x}{14} - \left(\frac{9}{14}\right) y = 1$

$\left(- \frac{1}{14}\right) x + \left(- \frac{9}{14}\right) y = 1$

$\frac{x}{- 14} + \frac{y}{- \frac{14}{9}} = 1$

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

:. color(green)("x-intercept " = a = -14, " y-intercept " = b = (-14/9)