For question 1, find the x- and y- intercept 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-intercept is 5
D. x-intercept is -4; y-intercept is 8

Answer 1

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

-10x + 5(0) = 40
-10x = 40
x = -4

Hence, the x-intercept is -4.

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

-10(0) + 5y = 40
5y = 40
y = 8

Therefore, the y-intercept is 8.

The correct answer is option D: x-intercept is -4; y-intercept is 8.