Graphing
What is the slope of the line that represents the equation y=3x?
What is 3.
What does the unit rate tell you in a proportional relationship?
What is the slope of the graph.
How can you determine if a set of values in a table represents a proportional relationship?
What is divide the y by the x to create a proportion.
What does the variable k represent in the equation y=kx?
What is the unit rate/slope.
What type of line represents a proportional relationship on a graph?
What is a straight line.
If a graph passes through the points (2, 4) and (4, 8), what is the unit rate?
What is 2.
If 5 apples cost $10, what is the unit rate per apple?
What is $2.
Fill in the table for the equation y=2x when x=1,2,3,4.
What is 2,4,6,8.
Write the equation for a proportional relationship if the unit rate is 5.
What is y=5x.
How do you find the slope on a proportional graph?
What is y/x
Describe how you can identify proportional relationships on a graph.
What is goes through the origin and is a straight line.
How does the unit rate relate to the slope of a line?
Create a table for the proportional relationship between distance and time if you are traveling at a speed of 60 miles per hour. What are the first three points.
What is (0,0), (1,60), (2,120).
If when x=3, y=6, what does y equal when x=6?
What is y=12.
What is the significance of the origin (0,0) in the graph of a proportional relationship?
What is the point you have to go through in order for it to be proportional.
How does the graph of a proportional relationship differ from that of a non-proportional relationship?
What is it has to go through the origin.
If a car travels 300 miles on 10 gallons of gas, what is the unit rate in miles per gallon?
What is 30mpg.
Given the table below, is this relationship proportional?
x y
1 2
2 4
3 6
4 8
What is yes it is proportional.
What is the Unit rate in the equation y=7x?
What is 7.
Describe how to interpret the slope of a line in a real-world context.
What is identify the variables, then divide y over x.
Explain how to graph a proportional relationship given the equation y=2.5x.
What is start at the origin and go up 2.5 and over 1.
A recipe calls for 4 cups of flour for 2 cakes. What is the unit rate of flour per cake?
What is 2 cups per cake.
Explain how to convert a table of values into an equation in the form y=kx.
What is find the K by dividing y by x.
If y = -2x, what does the negative indicate about the relationship?
What is a negative slope
Compare the graphs of y=3x and y=3x+2. How do they differ?
What is the y intercept is different.