What are the x - and y - intercepts of the equation `x-2y=8`?

Answer

To find the x- and y-intercepts of the equation \( x - 2y = 8 \), we can follow these steps:

### Step 1: Find the x-intercept
To find the x-intercept, we set \( y = 0 \) in the equation and solve for \( x \).

\[ x - 2(0) = 8 \]

This simplifies to:

\[ x = 8 \]

So, the x-intercept is \( (8, 0) \).

### Step 2: Find the y-intercept
To find the y-intercept, we set \( x = 0 \) in the equation and solve for \( y \).

\[ 0 - 2y = 8 \]

This simplifies to:

\[ -2y = 8 \]

Dividing both sides by -2 gives:

\[ y = -4 \]

So, the y-intercept is \( (0, -4) \).

### Final Answer
The x-intercept of the equation \( x - 2y = 8 \) is \( (8, 0) \) and the y-intercept is \( (0, -4) \).

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