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
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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Can u solve these please?

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.

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
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