Question

What are the x-intercept and y-intercept of the graph of y=1/3x−6 ?

Answer 1

1. To find x-intercept you have to substitute y=0. Then

$0=\dfrac{1}{3}x-6,\\ \\\dfrac{1}{3}x=6,\\ \\x=18.$

x-intercept is (18,0).

2. To find y-intercept you have to substitute x=0. Then

$y=\dfrac{1}{3}\cdot 0-6,\\ \\y=-6.$

y-intercept is (0,-6).

3. The graph of the function (straight line) see in the attached diagram.

Answer 2

The y-intercept is -6, and the x-intercept is 18