For question 1, find the x- and y-intetcept of the line.

Question

-10x+5y=40

A. x-intercept is 5; y-intercept is - 10

B. x-intercept is 8; y-intercept is -4

C. x-intercept is -10; y-inercept is 5.

D. x-intercept is -4; y-intercept is 8

Answer 1

To find the x-intercept, we set y equal to 0 and solve for x:

-10x + 5(0) = 40

-10x = 40

Dividing both sides by -10 gives us:

x = -4

So the x-intercept is -4.

To find the y-intercept, we set x equal to 0 and solve for y:

-10(0) + 5y = 40

5y = 40

Dividing both sides by 5 gives us:

y = 8

So the y-intercept is 8.

Therefore, the correct answer is D. x-intercept is -4; y-intercept is 8.