Linear functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0. It is represented by the letter b in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What type of slope does a line that rises from left to right have?

Back

A line that rises from left to right has a positive slope.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a line that falls from left to right have?

Back

A line that falls from left to right has a negative slope.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and does not rise or fall.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical and does not have a defined slope.

Tags

CCSS.8.EE.B.5

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 is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

A slope of 2 means that for every 1 unit increase in x, the y value increases by 2 units.

Tags

CCSS.8.EE.B.5