Name Class Date Practice
Form G
Standard Form
Find the x- and y-intercepts of the graph of each equation.
1. x + y = 7 7; 7
2. x - 3y = 9 9; −3
3. 2x + 3y = -6 −3; −2
4. -4x - 2y = -8 2; 4
12
5. 5x - 4y = -12 − 5 ; 3
11 11
6. -2x + 7y = 11 − 2 ; 7
Draw a line with the given intercepts.
8. x-intercept: -3
7. x-intercept: 4
y-intercept: 5
9. x-intercept: -6
y-intercept: -8
y-intercept: 1
y
y
4
y
4
2
8
2
4
x
−4 −2
O
2
x
O
−4 −2
4
2
x
O
−8 −4
4
−2
−2
−4
−4
−4
−8
4
8
Graph each equation using x- and y-intercepts.
10. -5x + y = -10
11. -3x - 6y = 12
12. 4x - 12y = -24
HSM11A1TR_0505_ANT003
HSM11A1TR_0505_ANT004
HSM11A1TR_0505_ANT005
y
y
y
8
8
8
4
4
4
x
x
−8 −4
O
4
O
−8 −4
8
4
x
O
−8 −4
8
−4
−4
−4
−8
−8
−8
4
8
For each equation, tell whether its graph is a horizontal or a vertical line.
13. y = -2
14. x = 0
15. y = -0.25
16. x = -
3
5
HSM11A1TR_0505_ANT009 HSM11A1TR_0505_ANT010 HSM11A1TR_0505_ANT011
horizontal
vertical
horizontal
vertical
Graph each equation.
17. y = 6
18. x = -2
19. y = -7
y
y
8
y
4
4
O
2
4
8
y
8
4
4
x
−8 −4
20. x = 3
2
x
−4 −2
O
2
4
x
−8 −4
O
4
8
x
−4 −2
O
−4
−2
−4
−2
−8
−4
−8
−4
2
4
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
HSM11A1TR_0505_ANT012
HSM11A1TR_0505_ANT013
HSM11A1TR_0505_ANT014
HSM11A1TR_0505_ANT015
Name Class Date Practice (continued)
Form G
Standard Form
Write each equation in standard form using integers.
21. y = x - 4
22. y - 4 = 5(x - 8)
x−y=4
5x − y = 36
3
24. y = - 5 x + 2
3x + 5y = 10
7
26. y - 3 = - 9 (x + 4)
23. y + 6 = -3(x + 1)
3x + y = −9
25. y = 1
2 x - 10
x − 2y = 20
7x + 9y = −1
27. You have only nickels and dimes in your piggy bank. When you ran the coins
through a change counter, it indicated you have 595 cents. Write and graph an
equation that represents this situation. What are three combinations of nickels
and dimes you could have?
n
5n + 10d = 595
Nickels
120
80
40
d
O
20
40
60
Dimes
Answers may vary. Sample: 11 nickels and 54 dimes; 21 nickels and 49 dimes; 45 nickels
and 37 dimes
HSM11A1TR_0505_ANT016
For each graph, find the x- and y-intercepts. Then write an equation in standard
form using integers.
28.
4
29.
y
4
2
y
2
x
−4
−2
O
2
x
−4
4
−2
O
−2
−2
−4
−4
3; −2; 2x − 3y = 6
2
4
2; 1;
x + 2y = 2
Find the x- and y-intercepts of the line that passes through the given points.
HSM11_A1TR_0505_T00401
30. (4, -2), (5, -4)
3; 6
HSM11_A1TR_0505_T00402
31. (1, 1), (-5, 7)
2; 2
32. (-3, 2), (-4, 10)
− 11
4 ; −22
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