Question

What are the x- and y-intercepts of the line described by the equation 3x−9y=36?

A) X-intercept: 12, Y-intercept: −4
B) X-intercept: −12, Y-intercept: 4
C) X-intercept: −4, Y-intercept: 12
D) X-intercept: 4, Y-intercept: −12

Answer 1

The x-intercept of the line is 12 and the y-intercept is -4.

Step-by-step explanation:

To find the x-intercept of the line, we set y equal to zero and solve for x. Substituting y = 0 into the equation 3x - 9y = 36 gives us 3x - 9(0) = 36, which simplifies to 3x = 36. Dividing both sides by 3, we find x = 12. Therefore, the x-intercept of the line is 12.

To find the y-intercept, we set x equal to zero and solve for y. Substituting x = 0 into the equation 3x - 9y = 36 gives us 3(0) - 9y = 36, which simplifies to -9y = 36. Dividing both sides by -9, we find y = -4. Therefore, the y-intercept of the line is -4.