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axes

perpendicular number lines

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x-axis

the horizontal number line

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y-axis

the vertical number line

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coordinate plane

the plane containing the x- and y-axes

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ordered pair

points in the coordinate plane, named (x, y)

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x-coordinate

the first number of an ordered pair, corresponds to a number on the x-axis

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y-coordinate

the second number of an ordered pair, corresponds to a number on the y-axis

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origin

the point where the axes intersect, coordinates (0,0)

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graph ordered pair

plot the point on the coordinate plane that corresponds to the ordered pair

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midpoint

the halfway point of a segment between two ordered pairs, (add x coordinates/2, add y coordinates/2)

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relation

a set of ordered pairs, can be represented by ordered pairs, a table, a graph or a mapping

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mapping

illustrates how each element of the domain is paired with an element in the range

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domain

the set of x values of a relation

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range

the set of y values of a relation

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inverse of any relation

switch the coordinates in each ordered pairs

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equation in two variables

y = 3x - 4 is an example because it contains two variables, x and y

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solution of an equation in two variables

an ordered pair of replacements for the variables that results in a true statement when substituted into the equation

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independent variable

the domain values of a relation

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dependent variable

the range values of a relation

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function

a relationship between input and output values, there is exactly one output (range) value for each input (domain) value

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coordinate system

where you can represent the graph of a function

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linear equation

an equation that can be written in the form Ax + By = C

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standard form of a linear equation

Ax + By = C, where A ≥ 0, A and B are not both zero, and A, B, and C are integers whose GCF is 1

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x-intercept

the point where the graph of a line intersects the x-axis, has y-coordinate of 0

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y-intercept

the point where the graph of a line intersects the y-axis, has x-coordinate of 0

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function notation

ƒ(x), x represents elements of the domain, and ƒ(x) represents the elements of the range, "ƒ of x"

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sequence

a set of numbers in a specific order

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arithmetic sequence

a numerical pattern that increases or decreases at a constant rate

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common difference

the rate at which an arithmetic sequence increases or decreases

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nth term of an arithmetic sequence

first term + (n - 1)d

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