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Name
Class
3-8
D. Legg-Battles
Date
Practice
Form G
Slopes of Parallel and Perpendicular Lines
Technical Geometry
NOTES:
(1) Parallel lines have the SAME slope.
(2) The product of the slopes of two perpendicular lines is -1. Another way to say this is
that perpendicular lines have OPPOSITE RECIPROCAL slopes.
(3) Vertical lines do not have slope, but all vertical lines are parallel to each other. Also,
any vertical line and horizontal line are perpendicular.
Refer to workbook page 87. In Exercises 1 and 2, are lines m1 and m2 parallel? Explain.
1.
1.
2.
Write an equation of the line parallel to
that contains point C.
3.
: y = 5x + 12; C(2, 1)
4.
: y = 74 x + 7 72 ; C(7, 1)
5.
: y = 15 x + 8 54 ; C(3, 6)
6.
: y =  52 x + 5 52 ; C(5, 2)
See workbook page 87. In Exercises 7 and 8, are lines m1 and m2 perpendicular?
Explain.
7.
8.
Write an equation of the line perpendicular to the given line that contains P.
9. P(6, 5); y = 2x  3
11. P(6, 3); y = x 1
10. P(4, 3); y = 3x  15
12. P(5, 5); y =
7
4
x + 11 12
Rewrite each equation in slope-intercept form if necessary. Then,
determine if the lines are parallel, perpendicular, or neither.
13. 2y = x + 15
x = 2y + 5
15. y  1 = x 6
y  3   56 ( x  5)
14. 2y = 15 + 4x
6y  30 = 12x
16. y  6 34   14 x
2y = 8x + 18