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

1 Answer
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 x / a + y / b = 1 where

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

Given equation is y = 3 (x + 6)

y = 3x + 18

3x - y = -18

(3/-18)x - y / (-18) = 1

x / (-6) + y / (18) = 1 is the intercept form.

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