Front

What is a rate of change?

Back

A rate of change describes how one quantity changes in relation to another quantity. It is often represented as a slope in a graph.

Front

What does a zero rate of change indicate?

Back

A zero rate of change indicates that there is no change in the dependent variable as the independent variable changes, often represented by a horizontal line.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How can you identify a proportional relationship in a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change regardless of the y-value.

Front

What is the meaning of a positive slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the y-intercept in a linear equation?

Back

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