Average Rate of Change

Front

What is the Average Rate of Change?

Back

The Average Rate of Change is the change in the value of a function divided by the change in the input value over a specific interval.

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

How is slope calculated?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the relationship between slope and linear functions?

Back

In linear functions, the slope is constant and represents the rate of change between the variables.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept?

Back

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