Proportional and Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant, meaning they increase or decrease at the same rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant, meaning they do not increase or decrease at the same rate.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph, indicating that when one variable is zero, the other variable is also zero.

Front

What are the characteristics of a proportional relationship?

Back

Proportional relationships are linear, pass through the origin, and have a constant slope.

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-value divided by the change in the x-value.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line, indicating a constant rate of change between the two variables.

Front

What is the y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis, representing the value of y when x is zero.

Front

What is the x-intercept?

Back

The x-intercept is the point where a graph intersects the x-axis, representing the value of x when y is zero.