Finding Slope and y-intercept 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 rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise and run between them, and divide the rise by the run.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 1/2 indicate?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally to the right, the line rises 1 unit.

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) in the equation y = mx + b.

Front

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

Back

The y-intercept can be identified by locating the point where the line intersects the y-axis.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in 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 mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall as it moves along the x-axis.

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

How do you write the equation of a line given the slope and y-intercept?

Back

To write the equation, use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the rise in slope calculations?

Back

The rise is the vertical change between two points on a line.

Tags

CCSS.8.EE.B.5