Determine the Slope and Y-intercept from Graphs

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept, look for the point where the line crosses the y-axis.

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change of the y-value with respect to the x-value.

Tags

CCSS.8.EE.B.5

Front

How is slope calculated from two points on a graph?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

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

Back

An undefined slope indicates a vertical line, meaning x is constant while y changes.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

How can you identify the slope from a graph visually?

Back

The slope can be identified by the steepness of the line; steeper lines have greater slopes.

Tags

CCSS.8.EE.B.5