Download Linear Functions Study Guide

Linear Functions Study
Guide
Name:____________
Complete all problems on separate sheets of graph paper
Find the slope of the line from the graph
1.
2.
3.
4.
5.
6.
Find the slope for the table of values
7.
8.
X
y
10.
X
y
4
1
1
10
2
4
2
5
0
7
3
0
9.
-2
10
X
y
4
-5
11.
X
y
1
2
1
1
6
12
2
5
7
14
6
21
9
18
X
y
-3
5
-1
4
1
3
3
2
10
37
12.
X
y
4
1
3
4
2
7
1
10
Find the slope given the following set of points
13. ( 2, -5) ( 3, 6)
16. ( -1, 9) ( 3, 5)
14. ( -4, -5) ( 5, -3)
17. ( 6, 4) ( 5, 8)
15. ( 10, 2,) ( 4 , 0)
18. ( -1, -3) ( -4, -6)
Graph the lines given the equations
19. y  3x  2
2
20. y   x  2
3
21. y 
3
x 4
5
22. y  4x
23. y  2x  6
24. y  
25. y  4
26. x  4
27. y  5x  3
28. 3x  4y  24
29. x  4y  8
30. 2x  6y  18
31. 5x  3y  15
32. 3x  y  9
33. 4x  4y  8
1
x 5
4
Write the following linear equations in slope-intercept form
34. 5x  3y  15
35. x  2y  10
36. 3x  y  8
37. 4x  3y  9
38. 2x  4y  12
39. 5x  y  6
40. 3x  4y  16
41. x  y  3
42. 2x  2y  8
Write the following equations in standard form
43. y  3x  4
2
44. y   x  6
3
45. y  4x  4
46. y 
1
4
x 
2
5
47. y  2x  3
48. y  3x
49. y 
3
x 1
4
50. y  5x  1
51. y  2x  4
Write an equation in slope intercept form given the following information
52.
slope  2
y  int ercept  3
2
55.
5
y  int ercept  6
slope 
1
53.
4
y  int ercept  2
1
slope 
56.
2
y  int ercept  3
slope  
54.
57.
slope  3
y  int ercept  2
slope  0
y  int ercept  5
For each table write an equation in slope-intercept form
58.
X
y
61.
X
y
4
1
2
-3
2
4
4
-2
0
7
-2
10
59.
X
y
8
0
62.
X
y
6
-1
1
-2
1
6
2
-4
3
-6
2
6
5
-10
60.
X
y
1
7
4
13
7
19
10
25
4
6
63.
X
y
4
1
4
4
4
7
4
10
3
6
Write an equation in slope-intercept form given the following criteria
2
64.
5
Through ( 5, 6)
65.
3
67.
4
Through ( 4, - 3)
68.
slope 
slope 
70.
slope  3
Through ( - 1, - 5)
71.
slope  3
Through ( 0, 7)
slope  2
Through ( 2, - 7)
slope  0
Through ( 3, 6)
66.
slope  4
Through ( 1, - 3)
1
69.
3
Through ( 3, 0)
slope 
1
72.
3
Through ( 2, 4)
slope  
73.
74.
75.
Through ( 5, 6) & ( 2, 4)
Through ( - 2, 1) & ( 3, 6)
Through ( 4, - 2) & ( 2, 1)
76.
77.
78.
Through ( 6, 6) & ( 2, 2)
Through ( - 1, - 2) & ( 3, 7)
Through ( 0, 6) & ( 2, 0)
79.
80.
81.
Through ( 7, 3) & ( 2, 4)
Through ( 5, 6) & ( 2, 6)
Through ( 1, 4) & ( - 2, - 4)
Complete the table by finding the x & y intercepts and the slope
Equation
82. 2x  4y  16
x-intercept
y-intercept
83. 3x  3y  12
84. 2x  5y  20
85. x  3y  6
86. 5x  y  10
87. 2x  6y  12
88. 4x  5y  20
89. 4x  3y  24
90. x  y  7
Given the following graphs write the equation in slope intercept form
91.
92.
93.
94.
slope