Choose the equation of a line that is perpendicular to the y-axis and passes through the point (5,-2).

1 answer

A line that is perpendicular to the y-axis is a vertical line. Vertical lines have equations of the form \( x = k \), where \( k \) is a constant.

Since we want the line to pass through the point \( (5, -2) \), the equation of the line will be:

\[ x = 5 \]

So, the equation of the line that is perpendicular to the y-axis and passes through the point \( (5, -2) \) is \( x = 5 \).