Question

write equations for the vertical and horizontal lines passing through the point $(-5,0)$. vertical line: horizontal line:

Explanation:

Step1: Recall the equation of a vertical line

A vertical line has the form \(x = a\), where \(a\) is the \(x\) - coordinate of any point on the line. For the point \((-5,0)\), the \(x\) - coordinate is \(-5\). So the equation of the vertical line is \(x=-5\).

Step2: Recall the equation of a horizontal line

A horizontal line has the form \(y = b\), where \(b\) is the \(y\) - coordinate of any point on the line. For the point \((-5,0)\), the \(y\) - coordinate is \(0\). So the equation of the horizontal line is \(y = 0\).

Answer:

vertical line: \(x=-5\)
horizontal line: \(y = 0\)