Linear Functions Review

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It is calculated as the change in y divided by the change in x (rise over run).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the slope-intercept form of a linear equation, y = mx + b.

Front

Write the slope-intercept form of a linear equation.

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a linear function?

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 linear function?

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 significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

Tags

CCSS.8.EE.B.5

Front

How can you determine the y-intercept from a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that y remains constant regardless of x.

Tags

CCSS.8.EE.B.5