Finding slope from graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that the x-value does not change while the y-value does.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

The slope is 3/4.

Tags

CCSS.8.EE.B.5

Front

If a line falls 2 units for every 5 units it runs, what is the slope?

Back

The slope is -2/5.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

How can you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change), and calculate the slope using the formula: slope = rise/run.

Tags

CCSS.8.EE.B.5