A farmer is using grid paper to map a new pasture. The graph shows one side of a fence and a point where the farmer wants a parallel fence to start. Write an equation of the line that represents the new fence. EXAMPLE 3 (8, 28) 25 20 15 (2, 13) 10 (20, 7) 5 5 10 15 25 20

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
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EXAMPLE 3
A farmer is using grid paper to map a new pasture. The graph shows one side of a
fence and a point where the farmer wants a parallel fence to start. Write an equation of
the line that represents the new fence.
ty
(8, 28)
25
20
15
(2, 13)
10
• (20, 7)
5
5
10
15
20
25
Find the slope of the given line. The coordinates are (2, 13) and (8, 28).
rise
28
13
8 - 2
15
m
run
6
Find the point the new line passes through.
(20, 7)
Find the y-intercept of the new line.
y= mx + b
7=20) 6
220) + b
7 = 50 + b
-43 = b
Write the equation of the new line.
y = mx + b =
:+(-43) =
(– 43
Do the Math
Irene is using a coordinate plane to design a logo for a business. She draws a line
segment with endpoints at (8, 2) and (0, 4). She wants to draw a line segment that is
parallel to this line segment that passes through the point (-4, 12). Write an equation
of the line that will contain the new line segment.
Transcribed Image Text:Learn the Math EXAMPLE 3 A farmer is using grid paper to map a new pasture. The graph shows one side of a fence and a point where the farmer wants a parallel fence to start. Write an equation of the line that represents the new fence. ty (8, 28) 25 20 15 (2, 13) 10 • (20, 7) 5 5 10 15 20 25 Find the slope of the given line. The coordinates are (2, 13) and (8, 28). rise 28 13 8 - 2 15 m run 6 Find the point the new line passes through. (20, 7) Find the y-intercept of the new line. y= mx + b 7=20) 6 220) + b 7 = 50 + b -43 = b Write the equation of the new line. y = mx + b = :+(-43) = (– 43 Do the Math Irene is using a coordinate plane to design a logo for a business. She draws a line segment with endpoints at (8, 2) and (0, 4). She wants to draw a line segment that is parallel to this line segment that passes through the point (-4, 12). Write an equation of the line that will contain the new line segment.
LESSON 4.1
Name
More Practice
ONLINE
OEd Video Tutorials and
Interactive Examples
Find the equation of the line parallel to the given line and passing
through the given point.
1. у%3 - Зх + 2; (—2, —6)
*- 4: (2, 1)
2. у3
3. х3 43 (6, 2)
4. y = 3; (-2,7)
Find the equation for each line.
5. Line m passes through (5, –3)
and is parallel to a line that passes
through (1, –4) and (9, –2).
6. Line h passes through (2, 6) and
is parallel to a line that passes
through (–3, 4) and (1, 1).
Geometry
53
Journal and Practice Workbook
Transcribed Image Text:LESSON 4.1 Name More Practice ONLINE OEd Video Tutorials and Interactive Examples Find the equation of the line parallel to the given line and passing through the given point. 1. у%3 - Зх + 2; (—2, —6) *- 4: (2, 1) 2. у3 3. х3 43 (6, 2) 4. y = 3; (-2,7) Find the equation for each line. 5. Line m passes through (5, –3) and is parallel to a line that passes through (1, –4) and (9, –2). 6. Line h passes through (2, 6) and is parallel to a line that passes through (–3, 4) and (1, 1). Geometry 53 Journal and Practice Workbook
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