Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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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.
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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.
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