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=mx represent?

Back

The equation y=mx represents a proportional relationship where m is the constant of proportionality.

Front

What is the difference between proportional and nonproportional relationships?

Back

In proportional relationships, the graph passes through the origin (0,0) and is a straight line. Nonproportional relationships do not pass through the origin.

Front

What does the equation y=x^2 represent?

Back

The equation y=x^2 represents a nonproportional relationship because it is a quadratic function and does not form a straight line.

Front

What does the equation y=mx+b represent?

Back

The equation y=mx+b represents a linear relationship that is nonproportional if b (the y-intercept) is not zero.

Front

What is the significance of the slope (m) in the equation y=mx?

Back

The slope (m) indicates the rate of change between the two variables in a proportional relationship.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change and can be described by a linear equation.

Front

What is the y-intercept in the equation y=mx+b?

Back

The y-intercept is the value of y when x is zero, represented by b in the equation.

Front

Can a nonproportional relationship be linear?

Back

Yes, a nonproportional relationship can be linear if it has a constant slope but does not pass through the origin.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.