Average Rate of Change NYS Regents Practice

Front

What is the average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does not change while the y-value changes.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Tags

CCSS.8.EE.B.5

Front

What is the average rate of change between the points (2, 4) and (6, 12)?

Back

The average rate of change is 2, calculated as (12 - 4) / (6 - 2).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the formula for finding the average rate of change?

Back

The formula is Average Rate of Change = (f(b) - f(a)) / (b - a), where a and b are the interval endpoints.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a slope of 4/5 represent?

Back

A slope of 4/5 means that for every 5 units you move horizontally to the right, the line rises 4 units vertically.

Tags

CCSS.8.EE.B.5