Linear Functions

Front

What is the slope of the linear function represented by the equation y = 3/2x + 3?

Back

The slope is 3/2.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the linear function represented by the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a hot-air balloon rises at a constant rate and reaches 20 feet after 5 seconds, how can you express the relationship between time (x) and height (y)?

Back

The relationship can be expressed as a linear function, where y = mx + b, with m being the rate of rise.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope represent in a real-world context, such as the height of a hot-air balloon over time?

Back

The slope represents the rate of change, or how much the height increases per unit of time.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from a linear equation in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = -4x - 5?

Back

The y-intercept is -5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept represents the value of y when x is 0.

Tags

CCSS.HSF.LE.B.5

Front

How can you identify the slope from a graph of a linear function?

Back

The slope can be identified by calculating the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a negative slope in a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

In the context of drilling an oil well, if the contractor drills 7 meters deeper every 2 hours, how can this be represented as a slope?

Back

The slope can be represented as 7 meters per 2 hours, or 3.5 meters per hour.

Tags

CCSS.8.EE.B.5