Unit 6: Worksheet 1 Parallel and Perpendicular Lines Finding Slope y ! y1 "y m= 2 or x2 ! x1 "x Name_______________________________ Period______ Parallel lines // Same slope m1 = 23 m2 = 23 Perpendicular lines ⊥ Opposite reciprocal slope m1 = 23 m2 = ! 23 Determine if the lines are parallel, perpendicular, or oblique. 2 7 1 1 1. m1 = ! & m2 = 2. m1 = & m2 = ! 7 2 4 4 ______________________ 4. m1 = ! 1 & m2 = !7 7 ______________________ 5. 7. y = 23 x + 1 8. 3x ! y = 9 x + 3 y = 36 ______________________ 6. y = !5 x + 7 y = ! x !8 1 5 11. 1 x+ y =8 2 2 y = x + 14 ! ______________________ m1 = 2 3 & m2 = ! 3 2 ______________________ 9. ______________________ ______________________ 10. m1 = 4 & m2 = 2 m1 = !2 & m2 = !2 ______________________ ______________________ ______________________ y = 23 x ! 4 3. Oblique Lines Not // or ⊥ Intersecting at any angle other than 90° 2 x ! 3 y = 12 3x ! 2 y = 4 ______________________ 12. y=4 x = !7 ______________________ Determine if the lines through the given points are parallel, perpendicular, or oblique. Find and compare the slopes 13. L1: (0, –1) (5, 9) 14. L1: (–2, –1) (1, 5) 15. L1: (4, 8) (–4, 2) L2: (0, 3) (4,1) L2: (1, 3) (5, –5) L2: (3, –5) (–1, 3) ______________________ ______________________ ______________________
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