Graphing Linear Equations In Standard Form Worksheets Page 5
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6Exercises
4.5
Help with Homework
Is the equation y = −2x + 5 in standard form? Explain.
1.
VOCABULARY
Describe two ways to graph the equation 4x + 2y = 6.
2.
WRITING
Defi ne two variables for the verbal model. Write an equation in slope-intercept form
that relates the variables. Graph the equation.
⋅
⋅
Pounds of
Pounds of
$2.00
$1.50
+
=
3.
—
—
$15
peaches
apples
pound
pound
⋅
⋅
Hours
Hours
16 miles
2 miles
32
+
=
—
4.
—
biked
walked
miles
hour
hour
Write the linear equation in slope-intercept form.
1
1
5. 2x + y = 17
6. 5x − y =
7. −
x + y = 10
—
—
1 1
4
2
Graph the linear equation. Use a graphing calculator to check your graph.
1
3
8. −18x + 9y = 72
9. 16x − 4y = 2
x +
y = 1
—
—
10.
4
4
Match the equation with its graph.
11. 15x − 12y = 60
12. 5x + 4y = 20
13. 10x + 8y = − 40
A.
B.
C.
y
y
y
1
5
1
4
5
4
2
1
1
x
1
1
2
3
4
5
x
3
2
2
2
3
1
3
4
1
1
2
3
4
5
x
5
5
✗
14.
ERROR ANALYSIS
Describe and correct the error
−2x + 3y = 12
in fi nding the x-intercept.
−2(0) + 3y = 12
15.
BRACELET
A charm bracelet costs $65, plus $25
3y = 12
for each charm. The equation − 25x + y = 65
y = 4
represents the cost y of the bracelet, where x is
the number of charms.
a. Graph the equation.
b. How much does the bracelet shown cost?
176
Chapter 4
Graphing and Writing Linear Equations
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