Question

1. write the equation of a line that passes through the point (5,7) and is perpendicular to the x - axis.

a. $x = 5$
b. $x = 7$
c. $y = 5$
d. $y = 7$

Explanation:

Step1: Recall line - axis relationship

A line perpendicular to the x - axis is a vertical line.

Step2: Determine equation of vertical line

The equation of a vertical line passing through the point \((x_0,y_0)\) is \(x = x_0\). Given the point \((5,7)\), \(x_0=5\). So the equation of the line is \(x = 5\).

Answer:

A. \(x = 5\)