# What are the intercepts of -8x-3y=14?

Apr 14, 2018

color(indigo)( "x-intercept = -7/3, y-intercept = -14/3"

#### Explanation:

Given equation is $- 8 x - 3 y = 14$

$\frac{- 8 x - 3 y}{14} = 1$

$\frac{x}{-} \left(\frac{14}{8}\right) + \frac{y}{- \frac{14}{3}} = 1$

It's in intercept form of equation is $\frac{x}{a} + \frac{y}{b} = 1$ where a & b are the x and y intercepts.

$\therefore \text{x-intercept = -14/4 = -7/3, y-intercept = -14/3}$