2-4 Writing Linear Functions
Name ________________________________________ Date __________________ Class__________________
Practice B
LESSON
2-4
Writing Linear Functions
Find the slope of each line.
1.
x
?5
1
4
9
y
?9
3
9
19
2.
_________________________________________
x
?7
?2
6
13
y
?0.5
2
6
9.5
________________________________________
Write the equation of each line in slope-intercept form.
3.
4.
________________________
5.
_________________________
6. line passing through (?3, ?4)
1
with a slope of
5
7.
_________________________________________
3
2
8. line parallel to y = ? x + 4
________________________
x
?2
3
8
11
y
?1
1.5
4
5.5
________________________________________
9. line perpendicular to y = ?2x + 11
and through (4, ?2)
and through (1, 5)
_________________________________________
________________________________________
Solve.
10. The pool at the Barnes Community Center is heated.
The table shows the temperature of the water at
various time intervals after the heater is turned on.
a. Express the temperature of the water as a
function of time.
_________________________________________
b. Find the temperature of the water after 12 hours.
Swimming Pool Heater
Time (h)
Temperature (T)
0
56¡ãF
3
62¡ãF
5
66¡ãF
9
74¡ãF
_________________________________________
Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
2-28
Holt Algebra 2
Problem Solving
3. Slope =
1. No; Possible answer: the rate of change
is not constant.
5
2
y-intercept = ?2
2. a. Because the rate of change is constant
4.
b. 6
c.
?1
3
5. 3
6. y = 3x + 2
7. y =
?x
?1
2
8. y = 2x ? 1
9. y =
2
11
x?
3
3
10. y = ?x + 5
11. y = ?3x ? 8
12. a. y = 40x + 9700
b. 12,460 feet
Practice B
d. $56
3. D
4. B
Reading Strategies
1.
Linear
Function
SlopeIntercept
Form
yintercept
Slope
y = ?4x + 7
?4
7
1.
4x + y = 7
2.
3y ? 3x = ?9
y=x?3
1
?3
3.
?6x + 2y = 12
y = 3x + 6
3
6
2.
3. y = 2x ? 4
4. y = ?3x + 1
5. y = ?
2
x ?1
5
7. y =
1
x
2
9. y =
1
x?4
2
6. y =
1
17
x?
5
5
8. y = ?
3
13
x+
2
2
10. a. T = 2t + 56
4. Possible answer: The x-intercept is the
point where the line crosses the x-axis.
The y-intercept is the point where the line
crosses the y-axis.
b. 80¡ãF
Practice C
5. Possible answer: Plot (2, ?1). The slope
1
of the line is , so move 1 unit up and 2
2
units to the right, to (4, 0).
6. Possible answer: Plot the points (4, 0)
and (0, ?2). Draw a line through both
points.
1. Neither
2. Perpendicular
3. Parallel
4. y = ?4x + 24
5. y =
2
14
x+
3
3
1
6. y = ? x + 2
2
7. y =
1
x +1
3
8. f(x) = ?x + 5
9. f ( x ) = ?
LESSON 2-4
5
25
x?
2
3
10. a. y = 3x + 172
Practice A
b. 196 cm
1. Slope = 3
c. Possible answer: No, Michelle will not
continue to improve at this rate forever.
She will reach a point where she will
improve only slightly each week.
y-intercept = 2
2. Slope =
1
2
1. 2
1
2
y-intercept = ?7
Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A18
Holt Algebra 2
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