Comparing Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or slope.

Front

How do you calculate the rate of change between two points?

Back

Rate of change = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the formula for slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they have the same rate of change and are parallel to each other.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the quantity of interest to express it as a quantity per one unit.

Front

What is the significance of the y-intercept 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 zero.