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Chapter 3: Q. 228 (page 294)

Find the equation of the line perpendicular to the y-axis and containing the point (-6,2). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the line perpendicular to the y-axis, containing the point (-6,2)is y=2.

Step by step solution

01

Step 1. Given information

It is given that the line is perpendicular to the y-axis and passes through the point (-6,2).

We need to find the equation of the perpendicular line in slope-intercept form.

02

Step 2. Finding the equation of the perpendicular line

We know that the line is perpendicular to the y-axis. Since the y-axis is vertical, the line perpendicular to it must be a horizontal line.

The perpendicular line passes through the point (-6,2). This implies that the y-coordinate of every point on the perpendicular line is 2.

Therefore the equation of the perpendicular line isy=2.

03

Step 3. Final Answer

The equation of the line perpendicular to the y-axis, containing the point (-6,2)in the slope-intercept form isy=2.

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Most popular questions from this chapter

Find the equation of a line with slope -1and y-intercept(0,-3).

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=|x|+1

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

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