Question

write equations for the vertical and horizontal lines passing through the point (-4, 0). vertical line: horizontal line:

Explanation:

Step1: Recall vertical - line equation

The equation of a vertical line passing through the point $(x_0,y_0)$ is $x = x_0$. Given the point $(-4,0)$, where $x_0=-4$ and $y_0 = 0$, the equation of the vertical line is $x=-4$.

Step2: Recall horizontal - line equation

The equation of a horizontal line passing through the point $(x_0,y_0)$ is $y = y_0$. Given the point $(-4,0)$, where $y_0 = 0$, the equation of the horizontal line is $y = 0$.

Answer:

vertical line: $x=-4$
horizontal line: $y = 0$