Exploring Proportional Relationships and Graph Equations

What indicates a proportional relationship on a graph?

• A straight line that does not pass through the origin

• A straight line that passes through the origin

• A series of disconnected points

• A curved line that passes through the origin

How do you find the unit rate from a graph?

• Divide the y-value by the x-value at any point on the graph

• Multiply the x-value by the y-value at the origin

• Add the x-value to the y-value at any point

• Subtract the y-value from the x-value at any point

What is the constant of proportionality also known as?

• The variable

• The slope of the line

• The x-intercept

• The y-intercept

How can you solve for missing values without a graph?

• Estimating based on the size of the paper

• Using the constant of proportionality in equations

• Drawing a new graph

• Guessing based on nearby values

What advantage do equations have over graphs?

• They are more colorful

• They require less math

• They are always accurate and not limited by paper size

• They are easier to draw

How do you find the constant of proportionality from a table?

• Add all the y-values and divide by the number of points

• Find the average of all x-values

• Divide a y-value by its corresponding x-value

• Multiply a y-value by its corresponding x-value

What does the equation y = Kx represent?

• The equation for a non-proportional relationship

• The constant of proportionality equation

• The equation for the y-intercept

• The equation for the x-intercept

What is the unit rate in a proportional relationship?

• The product of x and y at the origin

• The ratio of y-value to x-value at any point

• The sum of any two x-values

• The difference between any two y-values

How can you calculate distance traveled using the equation?

• Add the constant of proportionality to the time

• Multiply the time by the constant of proportionality

• Divide the time by the constant of proportionality

• Subtract the time from the constant of proportionality

What does a point on the graph represent in a proportional relationship?

• The maximum value of the graph

• A specific ratio between two quantities

• A random measurement

• An unrelated value