Slope and Proportional Relationships

Front

What is the definition of slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the slope formula?

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

How do you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Tags

CCSS.7.RP.A.2D

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (2,3) and (4,7).

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 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 there is no change in the y-value as the x-value changes.

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 there is no change in the x-value as the y-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Tags

CCSS.8.EE.B.5