Name _________________________________________________________ Date _________
2.4
Practice A
Write the linear equation in slope-intercept form.
1. 4 x + y = 10
2. 3x − y = 7
Graph the linear equation.
3. 2 x − 3 y = 6
4. 5x − 3 y = 15
Use the graph to find the x- and y-intercepts.
5.
6.
y
2
y
6
5
1
−2 −1
−1
1
3
4 x
2
−3
−4
1
−3
−1
1
2
3 x
Graph the linear equation using intercepts.
7. 4 x + y = 8
8. 3 x − 2 y = 12
9. The total amount of fiber (in grams) in a package containing x apples
and y oranges is given by the equation 5 x + 10 y = 110.
a. Find and interpret the y-intercept.
b. Find and interpret the x-intercept.
c. How many grams of fiber does an orange contain?
d. How many grams of fiber does an apple contain?
e. Is it possible for the package to contain 15 apples? Explain.
10. You have two jobs. You earn $8 for each hour x that you work as a
restaurant host and $6 for each hour y that you work as a hair washer.
Your earnings for the pay period is $144.
a. Write an equation in standard form that models your earnings.
b. Find the x- and y-intercepts.
c. Graph the equation.
d. You worked 10 hours as a hair washer. How many hours did you
work as a host?
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Name_________________________________________________________
Date __________
2.4 Puzzle Time
How Do Kangaroos Travel Across The Ocean?
Write the letter of each answer in the box containing the exercise number.
Find the x- and y-intercepts for the linear equation.
1. − 3x + 5 y = 15
2. 2 x − y = 4
3. 7 x + 9 y = 63
4. 3x + 2 y = 6
5. 4 x − 9 y = 36
6. x +
Answers
H. x-intercept: 2;
7.
1
1
x + y = 15
2
3
8.
9. 3.5 x + 4.2 y = 35.7
y-intercept: 3
1
y = −3
3
S. x-intercept: 5;
y-intercept: 2.5
H. x-intercept: –3;
2
3
x − y = 12
5
4
y-intercept: –9
J. x-intercept: 50;
10. 7.6 x + 15.2 y = 38
y-intercept: 20
11. The booster club sells popcorn at basketball games for
$0.75 per bag. Their cost for supplies is $12. The equation
− 0.75 x + y = −12 represents the booster club’s income y
after selling x bags of popcorn. Find the x- and y-intercepts
of the linear equation.
12. You upload digital photos to an online photo processing
website. You can print 4-inch by 6-inch photos for $0.30
each and 5-inch by 7-inch photos for $0.75 each. The linear
equation 0.30 x + 0.75 y = 15 represents the ways you
can print x 4-inch by 6-inch photos and y 5-inch by 7-inch
photos for $15. Find the x- and y-intercepts of the linear
equation.
M. x-intercept: 2;
y-intercept: –4
Y. x-intercept: 30;
y-intercept: –16
U. x-intercept: 9;
y-intercept: –4
P. x-intercept: 16;
y-intercept: –12
T. x-intercept: 30;
y-intercept: 45
E. x-intercept: –5;
y-intercept: 3
P. x-intercept: 10.2;
y-intercept: 8.5
I. x-intercept: 9;
y-intercept: 7
7
4
1
8
12
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All rights reserved.
5
2
9
10
6
3
11
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