Connect Proportional Relationships MODand Slope

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) over the change in x (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 x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/4, what does this mean in terms of rise and run?

Back

For every 1 unit the line rises, it runs 4 units to the right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (2, 3) and (6, 7)?

Back

Slope (m) = (7 - 3) / (6 - 2) = 4/4 = 1.

Tags

CCSS.8.EE.B.5

Front

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

Back

Slope (m) = (6 - 2) / (3 - 1) = 4/2 = 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

Slope (m) = (5 - 0) / (5 - 0) = 5/5 = 1.

Tags

CCSS.8.EE.B.5