Question

Find the x and y intercepts of the line:

-2x + 5y = 30
x-intercept is 5; y-intercept is negative 5
O x-intercept is negative 15; y-intercept is 6
O x-intercept is negative 2; y-intercept is 5
O x-intercept is 15; y-intercept is negative 4

Answer 1

The x-intercept is 15 and the y-intercept is positive 6.

Step-by-step explanation:

To find the x-intercept of a line, we set y = 0 and solve for x. Similarly, to find the y-intercept, we set x = 0 and solve for y.

For the given equation, -2x + 5y = 30, let's first find the x-intercept.

Setting y = 0, we have -2x + 5(0) = 30. Solving this equation, we get x = 15. Therefore, the x-intercept is 15.

Next, let's find the y-intercept. Setting x = 0, we have -2(0) + 5y = 30. Solving for y, we get y = 6. Hence, the y-intercept is positive 6.

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