Problem

What is the $y$-intercept of the line:
\[
-3 x+8 y=24
\]

Answer

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Answer

Final Answer: The y-intercept of the line is \(\boxed{3}\).

Steps

Step 1 :The y-intercept of a line is the point where the line crosses the y-axis. This occurs when x = 0.

Step 2 :Substitute x = 0 into the equation -3x + 8y = 24 and solve for y.

Step 3 :Doing so, we get 8y = 24.

Step 4 :Solving for y, we get y = 3.

Step 5 :Final Answer: The y-intercept of the line is \(\boxed{3}\).

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