Question

What is the y-intercept for this equation in standard form, 2x - 2y = 8?

(A) (0,4)
(B) (0,8)
(C) (0,-4)
(D) (0,-2)

Answer 1

The y-intercept of the equation 2x - 2y = 8 is (0, -4). The correct answer is c.

Step-by-step explanation:

To find the y-intercept of the equation 2x - 2y = 8, you can set x to 0 and solve for y. This is because the y-intercept is the point where the line crosses the y-axis, which occurs when x is equal to zero.

Setting x to 0 in the equation gives:

2(0) - 2y = 8
0 - 2y = 8
-2y = 8

To solve for y, divide both sides of the equation by -2:

2y / -2 = 8 / -2

y = -4

Therefore, the y-intercept of the equation 2x - 2y = 8 is (0, -4), which corresponds to choice (C).