Question

write equations for the horizontal and vertical lines passing through the point (1, - 5). horizontal line: vertical line:

Explanation:

Step1: Recall equation of horizontal line

A horizontal line has the form $y = k$, where $k$ is a constant. The $y$-coordinate of the given point $(1,-5)$ is $- 5$. So the equation of the horizontal line passing through the point $(1,-5)$ is $y=-5$.

Step2: Recall equation of vertical line

A vertical line has the form $x = h$, where $h$ is a constant. The $x$-coordinate of the given point $(1,-5)$ is $1$. So the equation of the vertical line passing through the point $(1,-5)$ is $x = 1$.

Answer:

horizontal line: $y=-5$
vertical line: $x = 1$