Slope from a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (run).

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 is a zero slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line, where the change in x is zero, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 5/2.

Tags

CCSS.8.EE.B.5

Front

If a line falls 3 units for every 2 units it runs, what is the slope?

Back

The slope is -3/2.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Tags

CCSS.8.EE.B.5