Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Linear Equations
The W.O.L.F
(simplifying expressions)
(simplifying expressions)
100
The ordered pair representing the origin.
What is (0,0)?
100
In the equation y = 3x, what is the constant of proportionality?
3
100
True or False?
To find the constant of proportionality, you divide “x” by “y.”
FALSE
100
4y+10=34
What is y = 6
100
Which one is the WOLF?
A. 3(x+2)
B. 3x+6
C. x+6
D. 6 + 3x
Wolf: C
(All others simplify to 3x+6)
200
The rate of change in the graph below. 
What is 1/6?
200
Will the graph of the equation y = 3x + 5 be a straight line that starts at the origin?
no
200
Does this graph show a proportional relationship? How do you know?
NO
Does not start at the origin
200
17=3x-4
What is x = 7
200
Which one is the WOLF?
A. 4(2x−1)
B. 8x−4
C. 2(4x−2)
D. 8x+4
Wolf: D
(All others simplify to 8x−4)
300
The two characteristics make a graph proportional.
What is
Straight line
Starts at the origin (0,0)
300
Is this equation proportional? y= (¾)x
yes
300
(5,10) is a point on a line that represents a proportional relationship. What is the slope of that line?
2
300
0.5p+67=68
What is p = 2
300
Which one is the WOLF?
A. 5x+2x−3
B. 7x−3
C. 7(x−3)
D. −3+7x
Wolf: C
(All others simplify to 7x−3)
400
Does this graph represent a proportional relationship?
Yes.
400
If the rate of change is 0.25, what is the equation for this relationship?
y = 0.25x
400
Does the table show a proportional relationship? If so, what is the constant of proportionality?
Yes; k=9
400
3x+22=−5
What is x = -9
400
Which one is the WOLF?
A. 2(x+4)+x
B. 3x+8
C. x+8+2x
D. 3(x+8)
Wolf: D
(All others simplify to 3x+8)
500
Is person A or person B walking faster?
person B - this person walks more miles in the same amount of hours.
500
Kim tries to bike 15 miles (y) every 3 days (x).
What is the equation for this relationship?
y = 5x
500
Is the equation y = x/6 proportional? If so, what is the constant?
Yes; k = 1/6
500
0.2x - 12 = 3
What is x = 75
500
Which one is the WOLF?
A. 5x - 3
B. 5x+3
C. 6x+3−x
D. 3(2x+1)−x
Wolf:A
(All others simplify to 5x+3)
600
Which of the following is proportional?
a. 
A
600
Ralph spends $120 on 6 pairs of pants. The equation that models the cost per pair of pants.
y = 20x
600
Does the table show a proportional relationship between number of buses and number of students? If so, give the slope. If not, explain.
No; there is no constant rate of change.
600
-3m+6 = 4m -8
What is m = 2
600
A. 2(3x−5)+4
B. 3(2x−1)
C. 6x−6
D. 6x−10+4
Wolf: D
(A, B, and C simplify to 6x−6; D simplifies to 6x−3)
Wolf:B
(A, C, and D simplify to 6x−6; B simplifies to 6x−3)