Algebra - Linear Equations

Front 1

Slope

Back 1

m, rise/run, constant rate of change, difference of y-coordinates divided by the difference of the x-coordinates

Front 2

y = mx + b

Back 2

Slope-Intercept Form

Front 3

Ax + By = C

Back 3

Standard Form

Front 4

the m in y = mx + b

Back 4

the slope

Front 5

the b in y = mx + b

Back 5

the y-intercept

Front 6

y - y1 = m(x - x1)

(y minus y-sub 1 = m(x minus x-sub1)

Back 6

Point Slope Form

Front 7

Slope of a Vertical Line

Back 7

Undefined

Front 8

Slope of a Horizontal Line

Back 8

Zero

Front 9

Equation for a vertical line

Back 9

x = x-intercept

such as x=5 is the vertical line through the point (5,0)

Front 10

Equation for a horizontal line

Back 10

y = b

such as y=3 is the horizontal line through the y-intercept of 3 which is the point (0,3)

Front 11

Relation

Back 11

a set of ordered pairs

such as {(3, 4), (2, -1), (5, 8)}

Front 12

Function

Back 12

a relation (set of ordered pairs) where the x-coordinate produces only one y-coordinate (x's don't repeat!)

{(3, 4), (2, -1), (5, 8)} function
{(3, 4), (2, -1), (3, 5)} is not a function because the x-coordinate of 3 produced two y-coordinates.

Front 13

Domain

Back 13

the input value, the x-coordinate

Front 14

Range

Back 14

the output value, the y-coordinate