Question

1. write the equation of the line that is perpendicular to the x - axis and passes through the point (-2, 4).

Explanation:

Step1: Understand perpendicular to x - axis

A line perpendicular to the x - axis 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 \((-2,4)\). For a vertical line, the x - coordinate of all points on the line is the same. So, the x - coordinate of the point \((-2,4)\) is \(-2\). So the equation of the line is \(x=-2\).

Answer:

\(x = - 2\)