Final answer:
The y-intercept of the given linear equation is (0, -4).
Step-by-step explanation:
The y-intercept, a, of the line describes where the plot line crosses the y-axis. In the given linear equation -2x+8y=-32, the y-intercept can be found by setting x=0 and solving for y.
By substituting x=0 in the equation, we get -2(0) + 8y = -32, which simplifies to 8y = -32. Dividing both sides by 8 gives y = -4.
Therefore, the y-intercept is (0, -4).