Finding slope from graphs and tables

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

Tags

CCSS.8.EE.B.5

Front

How do you calculate slope from a graph?

Back

To calculate slope from a graph, choose two points on the line, find the difference in their y-values (rise), and divide it by the difference in their x-values (run).

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Tags

CCSS.8.EE.B.5

Front

How do you find slope from a table of values?

Back

To find slope from a table, calculate the change in y-values divided by the change in x-values between two points.

Tags

CCSS.8.EE.B.5

Front

If y-values increase by 8 and x-values increase by 2, what is the slope?

Back

The slope is 8/2 = 4.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes up from left to right?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -3, what does this mean?

Back

This means for every 1 unit increase in x, y decreases by 3 units.

Tags

CCSS.8.EE.B.5

Front

How can you tell if a slope is steep?

Back

A steep slope has a larger absolute value, meaning the rise is much greater than the run.

Tags

CCSS.8.EE.B.5