Chapter 5 Writing Linear Equations - 5.2 Point-Slope Form Worksheet Page 5
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7Page 5 of 7
Write in point-slope form the equation of the line
WRITING EQUATIONS
that passes through the given point and has the given slope.
( 1,
3), m
4
( 6, 2), m
5
( 10, 0), m
2
20.
21.
22.
( 8,
2), m
2
( 4, 3), m
6
( 3, 4), m
6
23.
24.
25.
Write in point-slope form the equation of the line.
COMPARING FORMS
Student Help
Then rewrite the equation in slope-intercept form.
H
H
OMEWORK
ELP
26.
(12, 2), m
7
27.
(8,
1), m
0
28.
(5,
12), m
11
Extra help with
problem solving in
(1, 4), m
2
( 2, 4), m
3
( 5,
5), m
2
29.
30.
31.
Exs. 26–34 is available at
1
1
1
32.
(6, 2), m
33.
( 1, 1), m
34.
(4,
2), m
2
3
4
Write in slope-intercept form
WRITING EQUATIONS OF PARALLEL LINES
the equation of the line that is parallel to the given line and passes
through the given point.
3
1
35.
y
2x
11, (3, 4)
36.
y
x
6, ( 2, 7)
37.
y
x
4, ( 4,
4)
5
3
1
y
7x
1, (8, 0)
y
9x
3, (0,
5)
y
x, (8,
10)
38.
39.
40.
2
Write in slope-intercept form the equation
EQUATIONS FROM GRAPHS
of the line that is parallel to the line in the graph and passes through the
given point.
41.
42.
43.
y
y
y
3
3
2
(3, 3)
1
3
x
1
1
1
3 x
3
x
1
( 3,
1)
1
(0,
1)
3
Science
As a diver descends, the pressure in the water increases
by 0.455 pound per square inch (psi) for each foot of descent. At a depth
of 40 feet, the pressure of the water on the diver is 32.5 pounds per
square inch.
Underwater Pressure
44.
Using the point (40, 32.5)
and the slope 0.455, write the
P
70
equation in point-slope form
that models this situation.
60
Then rewrite the equation
50
in slope-intercept form.
40
30
are
PYROTEUTHIDS
Use the equation you wrote in
45.
20
also known as fire squids
Exercise 44 to determine the
10
because of their brilliant
pressure at a depth of 90 feet.
0
bioluminescent flashes. They
40 60 80 100 120 d
0
20
live in ocean depths ranging
Depth (ft)
from 0 to 500 meters.
282
Chapter 5 Writing Linear Equations
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