Slope & Intercepts

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -5/3, how would you describe its direction?

Back

The line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the average rate of change in a function?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Calculate the average rate of change if a climber is at 400 feet after 2 hours and 700 feet after 6 hours.

Back

The average rate of change is 75 feet per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6