Question

what is the equation of the vertical line through (-5, -2)?

Explanation:

Step1: Recall the form of a vertical line equation

The equation of a vertical line is \(x = a\), where \(a\) is the \(x\)-coordinate of any point on the line.

Step2: Identify the \(x\)-coordinate of the given point

For the point \((-5,-2)\), the \(x\)-coordinate is \(-5\).

Step3: Write the equation of the vertical line

Substituting \(a=-5\) into \(x = a\), we get \(x=-5\).

Answer:

\(x = - 5\)