Question

question
write the equation of the line that passes through the points (-1,1) and (-1,-3). 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 \((-1,1)\) and \((-1,-3)\). The x - coordinate of both points is \(-1\).

Step2: Determine line type

For a vertical line, the x - coordinate is constant for all points on the line. Since the x - value is always \(-1\) for the two given points, the line is a vertical line. The equation of a vertical line is \(x = a\), where \(a\) is the x - coordinate of the points on the line. Here, \(a=-1\), so the equation of the line is \(x=-1\).

Answer:

\(x = - 1\)