Proportional/Nonproportional Equations

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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How can you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a constant.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

If an equation has a constant term (b) that is not zero, is it proportional?

Back

No, if b is not zero, the equation represents a non-proportional relationship.

Front

What is the equation for a repairman who charges $75 plus $40 per hour?

Back

y = 40x + 75.

Front

What does it mean if a graph passes through the origin (0,0)?

Back

It indicates a proportional relationship.