Question

write an equation of the line that passes through the pair of points. (-6, 5), (-6, -4)

Explanation:

Step1: Analyze the x - coordinates

The two points are \((-6,5)\) and \((-6, - 4)\). We can see that the x - coordinate of both points is \(-6\). In a line, if all the points on the line have the same x - coordinate, the line 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.

Step2: Determine the equation

Since the x - coordinate of both given points is \(-6\), the equation of the line passing through these two points is \(x=-6\).

Answer:

\(x = - 6\)