Question

The equation of a line is -6x - 2y = -18. What is the x-intercept & y-intercept of the line?

a. x-intercept = 3 y-intercept = 9


b. x-intercept = 9 y-intercept = 3


c. x-intercept = -3 y-intercept = -9


d. x-intercept = -9 y-intercept = -3

Answer 1

a. x-intercept = 3 , y-intercept = 9.

Explanation:

-6x - 2y = -18

Convert to slope-intercept form:

-2y = 6x - 18

y = -3x + 9

So the y-intercept (when x = 0) is when y = 9..

Solving for x to find the x-intercept:

0 = -3x + 9

3x = 9

x = 3.