Rate of Change Review

Front

What is the definition of 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.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in y) / (Change in x) or rise/run.

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 the rate of change between two points on the line, calculated as rise over run.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means that there is no change in y as x changes; the line is horizontal.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope occurs when a line is vertical, meaning x does not change as y changes.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

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

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 0.

Front

What does the term 'rise' refer to in the context of slope?

Back

'Rise' refers to the vertical change between two points on a line.