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 x - coordinates

The two points are \((6, - 4)\) and \((6, - 1)\). The x - coordinates of both points are equal (\(x = 6\) for both).

Step2: Determine line type

When the x - coordinates of all points on a line are the same, the line is a vertical line. The equation of a vertical line is of the form \(x=a\), where \(a\) is the constant x - coordinate. Here, \(a = 6\).

Answer:

\(x = 6\)