Question: Find the equation of the line that fits the description. Passes through \((-2, 8)\) and has zero…

Find the equation of the line that fits the description.

Passes through \((-2, 8)\) and has zero slope.

The equation of the line is \(\boxed{\phantom{xxxx}}\).

(Simplify your answer.)

Solution

The problem asks for the equation of a line that passes through \((-2, 8)\) and has a zero slope. A zero slope means the line is horizontal. For a horizontal line, all points have the same \(y\)-coordinate. The \(y\)-coordinate given is 8. Therefore, the equation of the line is \[ y = 8 \]