Question

which is the equation of the line perpendicular to x=-15 that passes through the point (2, -4)? x=2 y=-15 y=-4 y=-2

Explanation:

Step1: Identify line type

The line $x = - 15$ is a vertical line. A line perpendicular to a vertical line is a horizontal line.

Step2: Determine horizontal - line equation

The equation of a horizontal line is of the form $y = k$, where $k$ is a constant. Since the line passes through the point $(2,-4)$, the $y$ - coordinate of all points on the line is the $y$ - coordinate of the given point. So $k=-4$.

Answer:

$y = - 4$