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axes

perpendicular number lines

x-axis

the horizontal number line

y-axis

the vertical number line

coordinate plane

the plane containing the x- and y-axes

ordered pair

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

x-coordinate

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

y-coordinate

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

origin

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

graph ordered pair

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

midpoint

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

relation

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

mapping

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

domain

the set of x values of a relation

range

the set of y values of a relation

inverse of any relation

switch the coordinates in each ordered pairs

equation in two variables

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

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

independent variable

the domain values of a relation

dependent variable

the range values of a relation

function

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

coordinate system

where you can represent the graph of a function

linear equation

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

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

x-intercept

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

y-intercept

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

function notation

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

sequence

a set of numbers in a specific order

arithmetic sequence

a numerical pattern that increases or decreases at a constant rate

common difference

the rate at which an arithmetic sequence increases or decreases

nth term of an arithmetic sequence

first term + (n - 1)d