3.4-3.5 Slope and Unit Rate

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline 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

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 an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the vertical direction.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you find the unit rate from a graph?

Back

The unit rate can be found by determining the slope of the line on the graph, which represents the change in the dependent variable per one unit change in the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the points (3, 15) and (3, -13)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the points (-3, -15) and (-5, -17)?

Back

The slope is 1, calculated as (-17 - (-15)) / (-5 - (-3)) = -2 / -2 = 1.

Tags

CCSS.8.EE.B.5