Question

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

-10x+5y = 40
(1 point)
O x-intercept is 5; y-intercept is -10.
O x-intercept is 8; y-intercept is -4.
O x-intercept is -10; y-intercept is 5.
O x-intercept is -4; y-intercept is 8.

Answer 1

The x-intercept is -4 and the y-intercept is 8.

Step-by-step explanation:

To find the x-intercept of the line -10x+5y = 40, we set y = 0 and solve for x. Substituting y = 0 into the equation, we get -10x + 5(0) = 40, which simplifies to -10x = 40. Dividing both sides by -10, we find that x = -4. Therefore, the x-intercept is -4.

To find the y-intercept, we set x = 0 and solve for y. Substituting x = 0 into the equation, we get -10(0) + 5y = 40, which simplifies to 5y = 40. Dividing both sides by 5, we find that y = 8. Therefore, the y-intercept is 8.

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