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

Answer:

(x = - 5)

Explanation:

Step1: Recall the equation form of a vertical line

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 the equation (x = a), we get (x=-5).