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Level 270

Direct Variation


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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