2.1.3 Graphing Linear Functions − Worksheet
Example 1: Determine whether each data set could represent a linear function. 1. 2.
x
x
2 5 8 11 9 17 25 33
3 9 15 21 1 4 10 19
f ( x )
f ( x )
Example 2: Graph each line. 3. slope
5 2 ; passes through (0, 2)
4. slope 2; passes through (2, − 4)
− − 4 3 ; passes through ( 2, 1)
2 5 ; passes through (3, 0)
5.
6.
slope
− slope
−
Example 3: Find the intercepts of each line, and graph the line. 7. 5 x + 6 y = 30 8. 2 x − 3 y = 24
9. 5 x − 2 y = − 30
10. − 4 x + 5 y = 10
Example 4: Write each function in slope-intercept form. Then graph the function. 11. 5 x + y = 4 12. − y = − 8 x 13. 3 y = 15 − 6 x
14. 2 x − 5 y = − 6
Example 5: Determine if each line is vertical or horizontal. Then graph the line. 15. x = 7 16. 17. x = 0 = y
5 4
18. y = − 4
Example 6: 19. Art’s cash register contained $150 when he opened the store. After 8 hours, the register contained $738. Find the average sales per hour, and graph the hourly amount of cash in the register.
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