Write the equation of the line that is parallel to the graph of the given equation and that passes through the given point. 1. y --6x +4; (-2, 3) 2. y-x: (7,-2)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Topic Video
Question
11:40 OO0 O
Assignment7 Geo.pdf
Name
Date
Class
LESSON Slope and Parallel Lines
10-1
Practice and Problem Solving: C
Write the equation of the line that is parallel to the graph of the given
equation and that passes through the given point.
1. y--6x + 4; (-2, 3)
2. у - х, (7, -2)
3. Quadrilateral ABCD has vertices A(-1, 5), B(4, 0), C(1, -5),
and D(-5, 1). Calculate the slopes of the sides, and then use
your results to explain whether ABCD is or is not a parallelogram.
4. Find the equation of the line parallel to 2x + 5y = 3 and
2x + 5y = 7 that lies midway between them.
5. A line that passes through the points (2, -3) and (b. 7)
is parallel to the line y --2x + 17. Find the value of b.
6. A line on the coordinate plane passes through the points (-7, 8) and
(-7, 20). A line that is parallel to the first line passes through the points
(11, -4) and (x, 9). Find the value of x.
7. A line on the coordinate plane passes through the points (-3, -7) and
(0, -5). A line that is parallel to the first line passes through the points
(6, 4) and (-9, y). Find the value of y.
8. Line L has the equation ax + by = c. Line Mis parallel to Line L. What
is the slope of Line M?
Oricinal content Copyright O by Houghton Mitfin Harcourt. Adations and changes to the ariginal content are the responsiblity of he instructor.
II
..
Transcribed Image Text:11:40 OO0 O Assignment7 Geo.pdf Name Date Class LESSON Slope and Parallel Lines 10-1 Practice and Problem Solving: C Write the equation of the line that is parallel to the graph of the given equation and that passes through the given point. 1. y--6x + 4; (-2, 3) 2. у - х, (7, -2) 3. Quadrilateral ABCD has vertices A(-1, 5), B(4, 0), C(1, -5), and D(-5, 1). Calculate the slopes of the sides, and then use your results to explain whether ABCD is or is not a parallelogram. 4. Find the equation of the line parallel to 2x + 5y = 3 and 2x + 5y = 7 that lies midway between them. 5. A line that passes through the points (2, -3) and (b. 7) is parallel to the line y --2x + 17. Find the value of b. 6. A line on the coordinate plane passes through the points (-7, 8) and (-7, 20). A line that is parallel to the first line passes through the points (11, -4) and (x, 9). Find the value of x. 7. A line on the coordinate plane passes through the points (-3, -7) and (0, -5). A line that is parallel to the first line passes through the points (6, 4) and (-9, y). Find the value of y. 8. Line L has the equation ax + by = c. Line Mis parallel to Line L. What is the slope of Line M? Oricinal content Copyright O by Houghton Mitfin Harcourt. Adations and changes to the ariginal content are the responsiblity of he instructor. II ..
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