Question

1. what is the equation of the line that passes through (-1, 4) with an undefined slope?

Explanation:

Step1: Recall undefined slope lines

A line with an undefined slope 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 value of \( a \)

The line passes through the point \((- 1,4)\). For a vertical line, the x - coordinate is constant. So, the x - coordinate of the point \((-1,4)\) is \(-1\). Therefore, the equation of the vertical line passing through \((-1,4)\) is \( x=-1 \).

Answer:

The equation of the line is \( x = - 1 \)