Question

write the equation of the line that passes through the points (6, -4) and (6, -1). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.

Explanation:

Step1: Check the x - coordinates

The two points are \((6, - 4)\) and \((6, - 1)\). The x - coordinate of both points is \(x = 6\). When the x - coordinates of all points on a line are the same, the line is a vertical line.

Step2: Determine the equation of the 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 the given points is \(6\), the equation of the line is \(x = 6\).

Answer:

\(x = 6\)