Problem

Find the $x$ - and $y$-intercepts.
\[
y=\frac{x-4}{2}
\]
x-intercept $(x, y)=(\square)$
$y$-intercept $\quad(x, y)=($

Answer

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Answer

Final Answer: The x-intercept is \(\boxed{(4, 0)}\) and the y-intercept is \(\boxed{(0, -2)}\).

Steps

Step 1 :Find the x-intercept by setting y = 0 in the equation: \(y = \frac{x-4}{2}\).

Step 2 :Solve for x to get the x-intercept: \(x = 4\).

Step 3 :Find the y-intercept by setting x = 0 in the equation: \(y = \frac{x-4}{2}\).

Step 4 :Solve for y to get the y-intercept: \(y = -2\).

Step 5 :The x-intercept is (4, 0) and the y-intercept is (0, -2).

Step 6 :Final Answer: The x-intercept is \(\boxed{(4, 0)}\) and the y-intercept is \(\boxed{(0, -2)}\).

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