Homework Help is Here – Start Your Trial Now!
Math
Geometry
Write the equation of the line that is parallel or perpendicular to the graph of the given equation and that passes through the given point. 1. perpendicular to x - 6y= 2; (2, 4) 2. parallel to y=x; (7,-2) 3. perpendicular to 2x + 5y = -3; (2, -3) 5. perpendicular to y = 3x - 2; (6, -1) 4. parallel to 5x + y = 2; (2, 3) 6. parallel to 9x + 3y = 8; (-1,-4)

Write the equation of the line that is parallel or perpendicular to the graph of the given equation and that passes through the given point. 1. perpendicular to x - 6y= 2; (2, 4) 2. parallel to y=x; (7,-2) 3. perpendicular to 2x + 5y = -3; (2, -3) 5. perpendicular to y = 3x - 2; (6, -1) 4. parallel to 5x + y = 2; (2, 3) 6. parallel to 9x + 3y = 8; (-1,-4)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question

4-5 equations of parallel and perpendicular lines

LESSON Equations of Parallel and Perpendicular Lines 4-5 Practice and Problem Solving: C Write the equation of the line that is parallel or perpendicular to the graph of the given equation and that passes through the given point. 1. perpendicular to x - 6y= 2; (2, 4) 2. parallel to y = x; (7,-2) 3. perpendicular to 2x + 5y = -3; (2, -3) 5. perpendicular to y = 3x - 2; (6, –1) 4. parallel to 5x + y = 2; (2, 3) 6. parallel to 9x + 3y = 8; (-1,-4) For Problems 7-8, write the equation of the line that passes through (2,7) and is perpendicular to the given line. 7. y = -5 8. X=-5 9. A line that passes through the points (2, 1) and (k, 5) is perpendicular to the line y = 3x - 9. Find the value of k. 10. The graphs of the equations 2x + 5y = 3 and 2x + 5y = 7 are parallel lines. Find the equation of the line that is parallel to both lines and lies midway between them. 11. A line on the coordinate plane passes through the points (7, -5) and (3, 11). A line that is perpendicular to the first line passes through the points (-3,-9) and (5, n). Find the value of n. 12. A line that passes through the points (2, -3) and (b, 7) is parallel to the line y = -2x + 17. Find the value of b. 13. The lines x = 0, y = 2x - 5, and y = mx + 9 form a right triangle. Find two possible values of m.
Transcribed Image Text:LESSON Equations of Parallel and Perpendicular Lines 4-5 Practice and Problem Solving: C Write the equation of the line that is parallel or perpendicular to the graph of the given equation and that passes through the given point. 1. perpendicular to x - 6y= 2; (2, 4) 2. parallel to y = x; (7,-2) 3. perpendicular to 2x + 5y = -3; (2, -3) 5. perpendicular to y = 3x - 2; (6, –1) 4. parallel to 5x + y = 2; (2, 3) 6. parallel to 9x + 3y = 8; (-1,-4) For Problems 7-8, write the equation of the line that passes through (2,7) and is perpendicular to the given line. 7. y = -5 8. X=-5 9. A line that passes through the points (2, 1) and (k, 5) is perpendicular to the line y = 3x - 9. Find the value of k. 10. The graphs of the equations 2x + 5y = 3 and 2x + 5y = 7 are parallel lines. Find the equation of the line that is parallel to both lines and lies midway between them. 11. A line on the coordinate plane passes through the points (7, -5) and (3, 11). A line that is perpendicular to the first line passes through the points (-3,-9) and (5, n). Find the value of n. 12. A line that passes through the points (2, -3) and (b, 7) is parallel to the line y = -2x + 17. Find the value of b. 13. The lines x = 0, y = 2x - 5, and y = mx + 9 form a right triangle. Find two possible values of m.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer