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PERPENDICULAR LINES WORKSHEET
Determine whether the graphs of the equations are perpendicular lines.

1. y = -4x + 3 and 4y + x = -1          6. 2x + 6y = -3 and 12y = 4x + 20




2. y = -2x + 4 and 3x + 2y = 1          7. 6x + y = -4 and 6x – y = 4
        3




3. x + y = 6 and 4y – 4x = 12           8. 4y = 12x + 5 and 9y + 3x = 2




4. 2x – 5y = -3 and 5x + 2y = 6         9. 6y – x = -12 and 1x + y = 3
                                                            6




5. y = -x + 8 and x – y = -1            10. x – 3y = 9 and 8y + 24x = 16




                                                                            1
PERPENDICULAR LINES WORKSHEET
Write an equation for the line containing the given point and perpendicular
to the given line. Graph both lines.


13. (0,6);     y – 3x = 4                17. (-3, 2);   x–y=5




14. (-2, 4);   y = 2x – 3                18. (-2, -3); 2y + 4x = 8




15. (0, 2);    3y – x = 0                19. (0, 0);    2x – y = 6




16. (2, 0);    2x + y = -4               20. (9, -2);   3x – 2y = 6

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6.6 perpendicular lines worksheet

  • 1. PERPENDICULAR LINES WORKSHEET Determine whether the graphs of the equations are perpendicular lines. 1. y = -4x + 3 and 4y + x = -1 6. 2x + 6y = -3 and 12y = 4x + 20 2. y = -2x + 4 and 3x + 2y = 1 7. 6x + y = -4 and 6x – y = 4 3 3. x + y = 6 and 4y – 4x = 12 8. 4y = 12x + 5 and 9y + 3x = 2 4. 2x – 5y = -3 and 5x + 2y = 6 9. 6y – x = -12 and 1x + y = 3 6 5. y = -x + 8 and x – y = -1 10. x – 3y = 9 and 8y + 24x = 16 1
  • 2. PERPENDICULAR LINES WORKSHEET Write an equation for the line containing the given point and perpendicular to the given line. Graph both lines. 13. (0,6); y – 3x = 4 17. (-3, 2); x–y=5 14. (-2, 4); y = 2x – 3 18. (-2, -3); 2y + 4x = 8 15. (0, 2); 3y – x = 0 19. (0, 0); 2x – y = 6 16. (2, 0); 2x + y = -4 20. (9, -2); 3x – 2y = 6