# What are the x and y intercepts of the linear equation: y=3(x+6)?

Jun 19, 2018

color(purple)("x-intercept "= -6, " y-intercept "= 18 graph{3x + 18 [-10, 10, -5, 5]}

#### Explanation:

Intercept form of linear equation is $\frac{x}{a} + \frac{y}{b} = 1$ where

a is the x-intercept and b the y-intercept.

Given equation is $y = 3 \left(x + 6\right)$

$y = 3 x + 18$

$3 x - y = - 18$

$\left(\frac{3}{-} 18\right) x - \frac{y}{- 18} = 1$

$\frac{x}{- 6} + \frac{y}{18} = 1$ is the intercept form.

color(purple)("x-intercept "= -6, " y-intercept "= 18