Topics of Algebra 2
Name: ______________________________
2.6 Homework
Hour: _____
Direct Variation HW
Matching: Which vocabulary term completes each sentence?
True
False
Direct Variation
Sometimes
Always
Constant of Variation
Never
Function
1. The graph of a direct variation equation ____________________ has a positive slope.
2. The graph of a direct variation equation ____________________ has a slope of zero.
3. If y = kx and k  0 then the equation is a(n) ____________________ equation.
4. If y = kx is a direct variation equation, then k is called the _________________________ .
5. The graph of a direction variation equation _________________ has a y-intercept of zero.
6. T or F? The graph of a direct variation equation must be a linear function. ___________
Are the graphs below examples of direct variation? Yes or No?
7. Yes or No
8. Yes or No
9. Yes or No
10. Yes or No
11. Yes or No
12. Yes or No
Given that the variables x and y vary directly, what is the constant of variation (k)?
13. y = 9 when x = 9
14. y = -16 when x = 2
k = __________
15. y = 7 when x = 3
k = __________
k = __________
Given that the variables x and y vary directly, what is the direct variation equation?
Then what is the value of y when x = 9?
16. y = 12 when x = 6
17. y = 64 when x = -8
k = __________
k = __________
equation = ___________________________
equation
when x = 9, y = ______________
when x = 9, y = ______________
18. y = -6 when x = 54
k = __________
equation
= _____________________________
= _________________
when x = 9, y = ___________
Are the following sets of data representing a direct variation equation?
19. Goes through points (2, 2) and (4, 4)
20. Goes through points (2, 4) and (3, 9) and (4, 16)
21. Goes through points (0, 5) and (1, 6)
22.
23.
x
-4
-3
-2
-1
x
0
2
4
6
y
17
17
8
9
y
6
7
8
9
x
2
3
4
5
x
3
6
9
12
y
20
30
40
50
y
12
21
30
39
24.
25.