The problem asks to find the y-intercept of the line given by the equation $x = -2y + 8$.

AlgebraLinear EquationsY-interceptEquation Solving
2025/3/21

1. Problem Description

The problem asks to find the y-intercept of the line given by the equation x=2y+8x = -2y + 8.

2. Solution Steps

The y-intercept is the value of yy when x=0x = 0.
So, we substitute x=0x = 0 into the equation:
0=2y+80 = -2y + 8
Add 2y2y to both sides:
2y=82y = 8
Divide both sides by 2:
y=82y = \frac{8}{2}
y=4y = 4

3. Final Answer

The y-intercept is

4. So the answer is (D).

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