Proportional Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

How can you identify a proportional graph?

Back

A proportional graph passes through the origin (0,0) and is a straight line.

Front

What is the constant of proportionality in the equation y = 4x?

Back

The constant of proportionality is 4.

Front

If y = 2x, what is the value of y when x = 5?

Back

y = 10.

Front

Does the graph of y = 3x + 2 show a proportional relationship?

Back

No, because it does not pass through the origin.

Front

What is the slope of the line represented by y = 5x?

Back

The slope is 5.

Front

If a graph shows a straight line through the origin, what can you conclude?

Back

It indicates a proportional relationship.

Front

What does it mean if a graph is not proportional?

Back

It means the relationship between the variables does not maintain a constant ratio.

Front

Match the equation to the graph: y = 8x, y = 2x, y = 4x. Which one has a slope of 4?

Back

y = 4x.