Linear Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and is calculated as the rise over run (change in y over change in x).

Tags

CCSS.8.EE.B.5

Front

What is a y-intercept?

Back

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

Front

How do you identify a linear function?

Back

A linear function can be identified by its graph, which forms a straight line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is 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

If a line has a slope of 2/3, what does this mean?

Back

A slope of 2/3 means that for every 3 units you move horizontally to the right, the line rises 2 units.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -x + 4?

Back

The slope (m) is -1.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = -x + 4?

Back

The y-intercept (b) is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you graph a linear equation?

Back

To graph a linear equation, plot the y-intercept on the y-axis and use the slope to find another point.