Graph using a table
For the equations below, make a table with at least 3 ordered pairs, plot the points and
connect them to form the line.
1. y = 3x – 4
2. y = -2x + 4
3. y = x – 3
!
4. y = x + 4
!
!
5. y = - x + 1
!
6. Make a table for the rule y = 3x – 1. Then use the table to graph the rule neatly.
Be sure to include scales and labels for the axes and the graph.
For the equations below, make a table with at least 3 ordered pairs, plot the points and
connect them to form the line.
7. y = -x – 2
8. y = 2x + 1
!
9. y = x
!
10. y = -2x – 2
!
11. y = - x + 4
!
12. Make a complete graph for y = 3x + 1
13. Using the rule y = –2x + 5,
a. Make a table for the rule.
b. Use your table to graph your rule on graph paper. Make sure your graph is
complete.
14. Using the tables below, carefully graph these two equations on the same set of
axes.
y=
1
2
y = −2x + 4
x
x
y
–2
–1
0
1
2
3
4
5
x
y
–2
–1
0
1
2
3
4
5
a. Estimate where the two graphs intersect.
b. Show how you can check the accuracy of the points you wrote in part (a).
Answers 1.
2.
3.
4.
5.
6.
(0, -4), (4/3, 0), (1, -1)
(0, 4), (2, 0), (1, 2)
(0, -3), (3, 0), (1, -2)
(0, 4), (-8, 0), (1, 4.5)
(0, 1), (3/2, 0), (1, 1/3)
(0, -1), (-2, -7), (1, 2)
7.
8.
9.
10.
11.
12.
(0, -2), (1, -3), (-1, -1)
(0, 1), (1, 3), (-1, -1)
(0, 0), (1, ¼), (4, 1)
(0, -2), (-1, 0), (2, -6)
(0, 4), (12, 0), (3, 3)
13.
a.
x
y
-2
-1
0
1
2
9
7
5
3
1
b.
14.
X
-2
-1
0
1
2
3
4
5
Y
-1
-½
0
½
1
1½
2
2½
X
-2
-1
0
1
2
3
4
5
Y
8
6
4
2
0
-2
-4
-6
a. The two lines intersect at (1.6, 0.8)
b. Substitute the values into BOTH equations and check the statements are true.
y=½x
y = -2x + 4
(0.8) = ½ (1.6)
(0.8) = -2(1.6) + 4
0.8 = 0.8
0.8 = -3.2 + 4
TRUE
0.8 = 0.8
TRUE