Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, 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

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

Tags

CCSS.8.EE.B.5

Front

What are the x- and y-intercepts of a line?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

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

How can you find the average rate of change from a graph?

Back

The average rate of change can be found by calculating the slope between two points on the graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

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

Back

Average Rate of Change = (Change in y) / (Change in x).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

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

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5