Identifying and Interpreting Slope and y-intercept

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 the y-coordinate divided by the change in the x-coordinate (rise over 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 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 the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

How can you find the y-intercept from the slope-intercept form of a line?

Back

In the slope-intercept form y = mx + b, b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it does not have a defined rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (4, 5) and (4, 9)?

Back

The slope is undefined.

Tags

CCSS.8.EE.B.5