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

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Answer 1 · 2018-06-19T01:48:10

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

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#