Chapter 3: Q.476 (page 358)

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.
line y = 3, point (−1, −3)

Short Answer

Expert verified

Equation of the perpendicular line to y = 3 and passing though the point (-1, -3) is x = -1.

Step by step solution

Step 1. Given information

We have given equation of the line is y = 3 and point is (-1, -3).

Step 2. Concept

The line that is perpendicular to y = c is a horizontal line, because horizontal and vertical lines are perpendicular.

Step 3. Explanation

Here we have given equation of the line is

y = 3 which is horizontal line.

Also we know that vertical lines and horizontal lines are perpendicular to each other.

So the vertical line passing though the point (-1, 3) is x = -1 which is perpendicular to y = 3.

Step 4. Conclusion

Hence, equation of the perpendicular line to y = 3 and passing though the point (-1, -3) is x = -1.

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In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.
line y = 3, point (−1, −3)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 3. Explanation

Step 4. Conclusion

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In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.line y = 3, point (−1, −3)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 3. Explanation

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.
line y = 3, point (−1, −3)