Linear Functions Vocabulary

What is the slope of a line?

• m; rise/run

• b; (0,b); where the graph crosses the y-axis

• any function that graphs to a straight line. f(x) = x

• Ax + By = C

Tags

CCSS.8.EE.B.5

Slope Intercept Form is..

• When m is positive; moves from bottom left (QIII) to top right (QI); y = x.

• Ax + By = C

• y-y1=m(x-x1)

• y = mx + b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the formula to calculate slope?

• x = number; constant, horizontal line parallel to the y-axis

• $m\ =\frac{y_2-y_1}{x_2-x_1}$

• y = mx + b

• Ax + By = C

Tags

CCSS.8.EE.B.5

Point Slope Form of a line is...

• $Ax\ +By\ =C$

• b; (0,b); where the graph crosses the y-axis

• $y=\ mx+b$

• $y-y_1=m\left(x-x_1\right)$

What is negative slope?

• y = number; constant, horizontal line parallel to the x-axis

• When m is negative; moves from top left (QII) to bottom right (QIV); y = -x.

• When m is positive; moves from bottom left (QIII) to top right (QI); y = x.

• x = number; constant, vertical line parallel to the y-axis

Tags

CCSS.8.EE.B.5

What is positive slope?

• y = number; constant, horizontal line parallel to the x-axis

• When m is negative; moves from top left (QII) to bottom right (QIV); y = -x.

• When m is positive; moves from bottom left (QIII) to top right (QI); y = x.

• x = number; constant, vertical line parallel to the y-axis

Tags

CCSS.8.EE.B.5

What is zero or no slope?

• y = number; constant, horizontal line parallel to the x-axis

• When m is negative; moves from top left (QII) to bottom right (QIV); y = -x.

• When m is positive; moves from bottom left (QIII) to top right (QI); y = x.

• x = number; constant, vertical line parallel to the y-axis

Tags

CCSS.8.EE.B.5

What is undefined slope?

• y = number; constant, horizontal line parallel to the x-axis

• When m is negative; moves from top left (QII) to bottom right (QIV); y = -x.

• When m is positive; moves from bottom left (QIII) to top right (QI); y = x.

• x = number; constant, vertical line parallel to the y-axis

Tags

CCSS.8.EE.B.5

A linear function is...

• any function that graphs to a straight line. f(x) = x

• y = number; constant, horizontal line parallel to the x-axis

• Ax + By = C

• b; (0,b); where the graph crosses the y-axis

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The y -intercept is...

• y = number; constant, horizontal line parallel to the x-axis

• any function that graphs to a straight line. f(x) = x

• y = mx + b

• b; (0,b); where the graph crosses the y-axis