Direct Variation
Name: ___________________________________________ Date: _____________
Learning Target – I can identify whether or not data in a graph or a table shows a proportional
relationship. (MN 7.2.1.2)
In order for a line to be directly proportional both must be true:
1) The points lie in a straight line AND
2) The line must pass through the origin (0, 0)
Tell whether x and y show are directly proportional. Prove your answer by graphing it or explaining it in words.
1.
x
y
0
2.
x
y
-2
1
1
1
2
3
3.
x
y
4
-2
4
2
8
-1
2
4
3
12
0
0
7
4
16
1
2
y
x
Tell whether each graph below shows a direct variation.
4.
5.
yes
no
6.
yes
no
yes
no
Tell whether x and y show direct variation. Explain your reasoning. (hint: use your graph paper)
1
8. x = 𝑦
7. xy = 3
9. y + 1 = x
3
y
x
Mixed Review:
10. Mr. Devine tied his dog outside. Find the area his
dog can roam using the picture below. (hint: what
shape does the dog area start making?)
20 ft
20 ft
house
12.
4.3 + 17.24 =
Dog’s area
8 ft
12. ____________
12 ft
Garage
10. ____________
13.
13 – 8.6 =
13. ____________
11. Which line has the steepest slope?
a
14.
b
c
11. ____________
7 x 2.5 =
14. ____________