Question

find the equation and slope of a line that is parallel to the x - axis and passes through the point (-5, -8). click on \undefined\ as the answer if necessary.

Explanation:

Step1: Recall slope of horizontal line

A line parallel to the \(x\)-axis is horizontal. The slope (\(m\)) of a horizontal line is \(0\) because there is no vertical change (rise) between any two points on it, so \(m=\frac{\text{rise}}{\text{run}}=\frac{0}{\text{run}} = 0\).

Step2: Find equation of the line

The equation of a horizontal line passing through a point \((x_1,y_1)\) is \(y = y_1\). Here, the line passes through \((-5, -8)\), so the \(y\)-coordinate is \(-8\). Thus, the equation is \(y=-8\).

Answer:

Equation: \(y = -8\)
Slope: \(0\)