Math Parallel and Perpendicular Worksheet 5.6

Algebra 1 5.6 Homework Name__________________ Assignment_____________ Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point. Your final answer should be in slope-intercept form. 1. y = x + 5, (-1, -1) 2. y = -3x + 1, (2, 4) 3. , (3, 3) m = _____________ m = _____________ m = _____________ point ____________ point ____________ point ____________ point-slope:___________________ point-slope:___________________ point-slope:___________________ final:_______________________ final:_______________________ final:_______________________ 4. 5. 6. y = 2x – 11, (3, 4) , (8, -10) , (-4, -4) m = _____________ m = _____________ m = _____________ point ____________ point ____________ point ____________ point-slope:___________________ point-slope:___________________ point-slope:___________________ final:_______________________ final:_______________________ final:_______________________ Write in slope-intercept form the equation of the line that is parallel to the line in the graph and passes through the given point. 7. m = _____________ point ____________ point-slope:___________________ final:_______________________ Write in slope-intercept form the equation of the line that is parallel to the line in the graph and passes through the given point. 8. m = _________ 9. m = _________ point ________ point ________ point-slope:______________ point-slope:______________ final:_______________________ final:_______________ ___ 10. What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)? After completing the work, circle your final answer. A. y = 2x – 3 B. y – 3 = 2(x – 1) C. y = -2x + 3 D. y = 2x + 3 Use point-slope form to write an equation in slope-intercept form of the line that is perpendicular to the given line and passes through the given point. 11. y = 3x - 1, (1, -3) 12. , (8, 5) 13. y = x + 2, (3, 0) m = _____________ m = _____________ m = _____________ point ____________ point ____________ point ____________ point-slope:___________________ point-slope:___________________ point-slope:___________________ final:_______________________ final:_______________________ final:_______________________ 14. 15. 16. y = -2x + 8, (-3, 1) , (0, 3) , (8, 5) m = _____________ m = _____________ m = _____________ point ____________ point ____________ point ____________ point-slope:___________________ point-slope:___________________ point-slope:___________________ final:_______________________ final:_______________________ final:_______________________ Write in slope-intercept form the equation of the line that is perpendicular to the line in the graph and passes through the given point. 17. m = _________ 18. m = _________ point ________ point ________ point-slope:______________ point-slope:______________ final:_______________________ final:_______________ ___ Write in slope-intercept form the equation of the line that is perpendicular to the line in the graph and passes through the given point. 19. m = _________ 20. m = _________ point ________ point ________ point-slope:______________ point-slope:______________ final:_______________________ final:_______________ ___ Complete the statement with always, sometimes, or never. 21. A horizontal line is _______________________ perpendicular to a vertical line 22. The product of the slopes of two nonvertical perpendicular lines is ____________________ -1 23. The line y = 2x + 3 is ____________________ perpendicular to a line with slope -2 24. The line is ________________________ perpendicular to a line with slope 3. 25. Choose which lines are perpendicular. After doing the necessary work, circle your final answer. Line p passes through (4, 0) and (6, 4) Line q passes through (0, 4) and (6, 4) Line r passes through (0, 4) and (0, 0) A. Line p and line q B. Line p and line r C. Line q and line r D. None of These 26. Which are not slopes of perpendicular lines? Circle your answer. A. 1 and -1 B. C. D. and – 31 and and a) Write an equation in slope-intercept form of a line parallel to the indicated line b) Write an equation in slope-intercept form of a line perpendicular to the indicated line 27. y = 2x – 4 through point (4, 6) Work for Parallel Line Final Answer:______________________ Work for Perpendicular Line Final Answer:______________________