Rate of change

Front

What is the rate of change?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often represented as the slope of a line in a graph.

Front

How do you calculate the rate of change from a table of values?

Back

To calculate the rate of change, take the difference in the y-values and divide it by the difference in the x-values between two points.

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 ratio of the vertical change to the horizontal change between two points on the line.

Front

If the slope is 3, what does this mean in terms of rate of change?

Back

A slope of 3 means that for every 1 unit increase in x, y increases by 3 units.

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in y with respect to x is the same for all intervals.

Front

How do you interpret a slope of zero?

Back

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

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where x does not change, but y does.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.