Question

what is an equation of the line that passes through the points (-2,5) and (-2,-8)?

Explanation:

Step1: Analyze the x - coordinates of the two points

The two points are \((-2,5)\) and \((-2, - 8)\). We can see that the x - coordinate of both points is \(x=-2\).

Step2: Determine the type of line

A line where all the points have the same x - coordinate is a vertical line. The equation of a vertical line is of the form \(x = a\), where \(a\) is the x - coordinate of any point on the line. Since the x - coordinate of both given points is \(-2\), the equation of the line is \(x=-2\).

Answer:

The equation of the line is \(x = - 2\)