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

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

Step-by-step 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.