Chapter B, Problem 20E

To determine

To find: The equation of the line for the given conditions.

Answer to Problem 20E

The equation of the line is $x=4$.

Explanation of Solution

Given:

The required line is passing through the points $\left(4,5\right)$ and parallel to $x\text{-axis}$.

Property used:

Two non-vertical lines are parallel if and only if they have the same slope.

Calculation:

Since the line is parallel to y-axis, the equation of the line is of the form $xy=c$, where c is constant.

From the given information, x-coordinate is 4.

Thus, the equation of the line is $x=4$.