2.4 Write Equations Of Lines Examples And Worksheet - Chapter 2, Linear Equations And Functions Page 4
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2
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6
7
8
9E
6
Write a model using standard form
X A M P L E
You have $30 to spend on downloading songs for your digital
ONLINE MUSIC
music player. Company A charges $.79 per song, and company B charges
$.99 per song. Write an equation that models this situation.
Solution
Write a verbal model. Then write an equation.
Company A
Company B
Songs from
Songs from
Your
p
p
song price
song price
company A
company B
budget
1
5
(dollars/song)
(dollars/song)
(songs)
(songs)
(dollars)
p
p
0.79
x
0.99
y
30
1
5
c
An equation for this situation is 0.79x 1 0.99y 5 30.
✓
G
P
for Example 6
UIDED
RACTICE
10.
WHAT IF?
In Example 6, suppose that company A charges $.69 per song and
company B charges $.89 per song. Write an equation that models this situation.
EXERCISES
HOMEWORK
2.4
WORKED-OUT SOLUTIONS
5
KEY
on p. WS1 for Exs. 15, 35, and 53
★
STANDARDIZED TEST PRACTICE
5
Exs. 2, 26, 39, 47, and 53
MULTIPLE REPRESENTATIONS
5
Ex. 57
S
P
KILL
RACTICE
VOCABULARY
Copy and complete: The linear equation 6x 1 8y 5 72 is
1.
written in ? form.
★
2.
WRITING
Given two points on a line, explain how you can use point-slope
form to write an equation of the line.
Write an equation of the line that has the given slope
SLOPE-INTERCEPT FORM
EXAMPLE 1
and y-intercept.
on p. 98
for Exs. 3–8
m 5 0, b 5 2
m 5 3, b 5 24
m 5 6, b 5 0
3.
4.
5.
2
5
m 5
, b 5 4
m 5 2
, b 5 7
m 5 25, b 5 21
6.
7.
8.
}
}
3
4
POINT-SLOPE FORM
Write an equation of the line that passes through the given
EXAMPLE 2
point and has the given slope.
on p. 99
for Exs. 9–19
(0, 22), m 5 4
(3, 21), m 5 23
(24, 3), m 5 2
9.
10.
11.
3
(25, 26), m 5 0
(8, 13), m 5 29
(12, 0), m 5
12.
13.
14.
}
4
4
3
1
(7, 23), m 5 2
(24, 2), m 5
(9, 25), m 5 2
15.
16.
17.
}
}
}
7
2
3
101
2.4 Write Equations of Lines
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