Graphing Proportional Relationships
Proportional Relationship Equations
Identifying Proportional Relationships
Proportional Relationship Problems
100
What is the ordered pair for the origin?
(0,0)
100
Is the equation y = 3x proportional? Explain.
Yes. The equation is in the form of y = kx, where k = 3. It has only multiplication.
100
Is this a proportional relationship?
Yes.
100
a. y = 35x
200
How do you tell if a graph represents a proportional relationship?
The graph is a straight line that passes through the origin.
200
Is the equation y = 4x + 10 proportional? Explain.
No. The equation is NOT in the form of y = kx. It cannot have addition/subtraction.
200
Does the graph below represent a proportional relationship? Explain.
No. Although the graph is a straight line, it does not pass through the origin.
200
What is the constant of proportionality in the equation y=4x
k=4
300
Does every straight line graph represent a proportional relationship? Explain.
No. The graph would have to be a straight line AND pass through the origin.
300
What is the constant of proportionality in the equation below?
y= ¾ x
k = ¾
300
Does the table below represent a proportional relationship? Explain.
No. There is no constant of proportionality AND (0, 0) would not make sense in the table.
300
The table below is proportional. Find the constant of proportionality.
k = 13
400
Does this graph represent a proportional relationship? Explain.
Yes. It is a straight line that passes through the origin.
400
The constant of proportionality for the graph below is 1/6. What is the equation? 
y = 1/6x
400
Does the table below represent a proportional relationship? Explain.
Yes. The constant of proportionality is 9.
400
The constant of proportionality is 3. Write an equation for the proportional relationship using x and y.
y = 3x
500
Does this graph represent a proportional relationship? Explain.
No. Its a straight line but not on the origin.
500
Write an equation for the proportional relationship shown in the table below.
y = 3/2 x OR y = 1.5x
500
Mark buys packs of gum for $1.50 each.
500
