NAME _____________________________________________ DATE __________________ PERIOD _________
Lesson 5 Homework Practice
Graph a Line Using Intercepts
State the x- and y-intercepts of each function.
3
2. −
x - 6y = 18
1. -6x + 8y = 24
4
x-intercept -4; y-intercept 3
1
1
x-−
y = 12
3. - −
4
x-intercept 24; y-intercept -3
4. -10x - 10y = -20
3
x-intercept -48; y-intercept -36
x-intercept 2; y-intercept 2
1
6. -x - y = −
5. x + y = 1
2
x-intercept 1; y-intercept 1
1
2
1
2
x-intercept - −; y-intercept - −
State the x- and y-intercepts of each function. Then graph the
function.
7. -4x + 2y = -8
8. 6x - 2y = -18
y
y
(0, 9)
1
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
O
2
(2, 0)
1
x
(-3, 0)
O
2
x
(0, -4)
x-intercept 2; y-intercept -4
x-intercept -3; y-intercept 9
y
9. FARMING Mr. Jeans raises cows and chickens on his farm.
Altogether, his cows and chickens have 140 legs. This can
be represented by the function 4x + 2y = 140. Graph the
function. Then interpret the x- and y-intercepts.
Sample answer: The x-intercept indicates that he
has 35 cows and no chickens. The y-intercept
indicates that he has 70 chickens and no cows.
(0, 70)
10
O
(35, 0)
10
x
10. MONEY Monty has a total of $290 in ten dollar and five dollar bills. This can be
represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.
Sample answer: The x-intercept indicates that he has 29 ten dollar bills
and no five dollar bills. The y-intercept indicates that he has 58 five
dollar bills and no ten dollar bills.
Course 3 • Chapter 3 Equations in Two Variables
43
NAME _____________________________________________ DATE __________________ PERIOD _________
Lesson 5 Skills Practice
Graph a Line Using Intercepts
State the x- and y-intercepts of each function. Then graph the function.
1 x + 3y = -3
2. - −
1. 3x - 5y = 15
2
y
y
1
x
1
O
(6, 0)
2
(5, 0)
2
O
(-1, 0)
x
(0, -3)
x-intercept 5; y-intercept -3
3. 4x - 6y = 12
x-intercept 6; y-intercept -1
4. 7x + 3y = -21
y
y
(3, 0)
1
O 1
(-3, 0)
x
2
O
(0, -2)
x-intercept -3; y-intercept -7
6. - x + y = -2
y
y
2
O
1
(0, 3)
2
x
O
x-intercept 3; y-intercept -6
1 (2, 0) x
(0, -2)
(0, -6)
x-intercept 2; y-intercept -2
7. DRINKS Ms. Purdy bought coffee and orange juice for her
coworkers in her office. She bought x cups of coffee at $2
per cup and y cups of orange juice at $1.50 per cup.
Altogether she spent $30. This can be represented by the
function 2x + 1.5y = 30. Graph the function. Then interpret
the x- and y-intercepts. Sample Answer: The
x-intercept indicates that she can buy 15 cups
of coffee and no cups of orange juice.
The y-intercept indicates that she can buy 20
cups orange juice and no cups of coffee.
44
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
2
1
x-−
y=2
5. −
3
x
(0, -7)
x-intercept 3; y-intercept -2
3
2
y
(0, 20)
5
O
(15, 0)
5
x
Course 3 • Chapter 3 Equations in Two Variables