
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Transcribed Image Text:8) Through: (2, 4)
Perpendicular to: y=hx+10
3.5 Day 2 Homework
For #1-6, write the equation of the line
PARALLEL to the given line and through the
given point in point-slope form
1) Through: (1, -3) Parallel to: y-3x-6
9) Through: (2, 1)
Perpendicular to: y=-9x+12
2) Through: (2, 4) Parallel to: y=4x+10
10) Through: (4, 9)
Perpendicular to: y=-¾x-22
3) Through: (-11, 5) Parallel to: y=x
110 Through: (11, 2)
Perpendicular to: y=-2x-6
4) Through: (4, 9) Parallel to: y=2 x-100
12) Through: (12, -1)
Perpendicular to: y=½ x-100
5) Through: (12. -1) Parallel to: y=-% x-22
For 14-15, find the slope of the lines AB and
CD and decide if they are parallel,
perpendicular or neither.
6) Through: (5, -5) Parallel to: y=10x-30
14) A(2, 4) BI, 8) C(-2, 5) D(2, 6)
For #7-12, write the equation of the line
PERPENDICULAR to the given line and
through the given point in point-slope form
7) Through: (1, -3)
Perpendicular to: y=3x-6
15) AC12, 10) B(20, 15) C(-4, -12) D(-12, -17)

Transcribed Image Text:NAME:
DATE:
PER:
3.5 Day 3 Notes- Equations of Lines
I can write equations of lines parallel or perpendicular to another line.
Slope intercept form: y= mx+b
where m is
and b is the
Example 1: (parallel to a given line) use the same slope
1) Through the point (2, -1) and parallel to y = 4x - 1
First in point slope:
Then solve for y to change into slope-intercept:
Example 2: (perpendicular to a given line) use the negative reciprocal of the slope
2) Through the point (4, -2) and perpendicular to y = -3 x + 2
First in point slope:
Then change to slope-intercept:
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