Final answer:
The x-intercept of the line 6x - 3y = 18 is 3, and the y-intercept is -6. These intercepts are found by setting y and x to zero respectively and solving for the other variable.
Step-by-step explanation:
To find the x-intercept and y-intercept of the line represented by the equation 6x - 3y = 18, we can set each variable to zero and solve for the other.
Finding the x-intercept:
For the x-intercept, set y to zero:
6x - 3(0) = 18
6x = 18
x = 18 / 6
x = 3
The x-intercept is 3.
Finding the y-intercept:
For the y-intercept, set x to zero:
6(0) - 3y = 18
-3y = 18
y = 18 / -3
y = -6
The y-intercept is -6.