# The equation of the line for the given conditions. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter B, Problem 20E
To determine

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

Expert Solution

The equation of the line is x=4.

### Explanation of Solution

Given:

The required line is passing through the points (4,5) and parallel to x-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.

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