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coordinate plane

A plan formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.

direct variation

A situation when one value increases as the other vaule increases or as one decreases the other decreases. y = kx k≠0

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane.

origin

The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)

quadrants

Four regions into which a coordinate plane is divided by the x-axis and the y-axis

unit rate

A rate with the denominator of 1.

x axis

The horizontal axis on a coordinate graph, for the varaible that controls the other (an axis ia a line on a graph)

y axis

has the dependent variable, the vertical line on a graph

x coordinate

In an ordered pair, the value that is always written first.

y coordinate

In an ordered pair, the value that is always written second.

add-add

y=mx+b

multiply-multiply

y=kx^n

add-multiply

y=a*b^x, b^x=1 or when x=0

a^m*a^n

a^n+m

(a^m)/(a^n)

a^m-n

y=kx

Direct Variation

Standard From

Ax + By=C

point slope form

where m is the slope and (x1, y1) is a point on the line

Example of distributive property

5(3 + 1) = 5 × 3 + 5 × 1

constant of variation

k; the coefficient of x

varies directly

is proportional to

constant of variation

the ratio between two variables that are proportional

m = k h

money earned (m) is directly proportional to hours worked (h)

rate

a ratio that compares two quantities with different units of measure

ratio

A comparison of two quantities, also know as fancy word for fraction.

percent

/ division

Rational Number

Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.

Variation

Difference of values; spread