Name: ___________________________
Date: ___________________________
Algebra II A – Lines, Lines, and more Lines
Complete each sentence to make a true statement.
1. The domain of a relation corresponds to the ______ values in an ordered pair.
2. The range of a relation corresponds to the ________ values in an ordered pair.
Determine with each relation is a function. Write yes or no.
3. { (2,3), (5,4), (0,3), (4, 1) }
_____________________
4.
______________________
1
3
2
5
6
7
9
12
Determine whether each relation is a function. Write yes or no.
5. _______________
6. _______________
7. ___________
4
5
5
2
-5
5
-2
-4
-5
-5
Write each of the following in standard form of a line.
8. 2 y
4 x 12
9.
3
1
y
x 1
5
3
10. 7 x
Identify the x-intercept and y-intercept for each line.
11. 4 x
y
8
12. 2 x 5 y
8
1
y 10
3
Write each function in slope-intercept form.
13. 5 x y 7
14. 4 x 3 y
1
Find the slope of each line.
16. line through (2, 4) and (5, 3)
17. Line through (0, 0 ) and (-1, -3)
15. 3 x
2y
6
Write the equation of the line in slope-intercept form.
18. line with slope of 3 and y-intercept of -1
19. Line with slope of 2 passing through (1,1)
20. line with slope
2
passing through (4,-1)
3
22. line perpendicular to y
x
4 through (-3,1)
3
Write each linear function.
24. f ( x ) , where f (4) 1 and f (1)
4
21. Line parallel to y=-x +6 passing through (5,0)
23. Passing through (-4,2) and (2,6)
25. f ( x ) where f ( 1)
10 and f ( 5)
0
Graph the following linear equations.
26. y 3 x 2
10
5
5
10
-10
10
-5
-5
-10
-10
29. x
14
2
y
7
3
4
10
10
5
5
-10
30. 3 y 5
2x 7
10
-10
28. 2 x 7 y
27. y
10
-10
10
-5
-5
-10
-10
30.
0
1
x
2
y
3
1
10
10
5
5
-10
10
-10
10
-5
-5
-10
-10