Proportional vs. Non Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by a linear equation with a non-zero y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

How can you identify a proportional relationship from an equation?

Back

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

Front

How can you identify a non-proportional relationship from an equation?

Back

An equation represents a non-proportional relationship if it includes a constant term (y = mx + b, where b ≠ 0).

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant ratio between the two quantities.

Front

What is the slope of the line represented by the equation y = 75x?

Back

The slope is 75, indicating that for every increase of 1 in x, y increases by 75.

Front

What does a y-intercept of 0 indicate about a relationship?

Back

A y-intercept of 0 indicates a proportional relationship, as the line passes through the origin (0,0).

Front

What does a y-intercept of 8 miles indicate in a non-proportional relationship?

Back

It indicates that when x is 0, the value of y is 8 miles, showing that the relationship does not pass through the origin.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.