Unit Rate and Slope

Front

What is the definition of unit rate?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula 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 does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value 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 the x-value increases, the y-value 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, indicating no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/2, what does this mean in terms of rise over run?

Back

It means that for every 2 units you move horizontally (run), you move up 1 unit (rise).

Tags

CCSS.8.EE.B.5

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope and represents how much the output (y) changes for a change in the input (x).

Tags

CCSS.HSF-LE.A.1B

Front

How do you find the slope between two points, (3, 4) and (7, 10)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (10 - 4) / (7 - 3) = 6/4 = 3/2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is m = (5 - 2) / (4 - 1) = 3/3 = 1.

Tags

CCSS.8.EE.B.5