Question

Question what are the x and y-intercepts of the line described by the equation? 4x−8y=40 enter your answers in the boxes. x-intercept = ( , ) y-intercept = ( , )

Answer 1

To find the x-intercept, set y to 0 in the equation and solve for x. To find the y-intercept, set x to 0 in the equation and solve for y.

Step-by-step explanation:

To find the x-intercept, we set y to 0 in the equation and solve for x. So, when y = 0, we have 4x - 8(0) = 40, which simplifies to 4x = 40. Dividing both sides by 4 gives x = 10. Therefore, the x-intercept is (10, 0).

To find the y-intercept, we set x to 0 in the equation and solve for y. So, when x = 0, we have 4(0) - 8y = 40, which simplifies to -8y = 40. Dividing both sides by -8 gives y = -5. Therefore, the y-intercept is (0, -5).