Chapter 4 Vocabulary

perpendicular number lines
the horizontal number line
the vertical number line
coordinate plane
the plane containing the x- and y-axes
ordered pair
points in the coordinate plane, named (x, y)
the first number of an ordered pair, corresponds to a number on the x-axis
the second number of an ordered pair, corresponds to a number on the y-axis
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
the halfway point of a segment between two ordered pairs, (add x coordinates/2, add y coordinates/2)
a set of ordered pairs, can be represented by ordered pairs, a table, a graph or a mapping
illustrates how each element of the domain is paired with an element in the range
the set of x values of a relation
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
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
the point where the graph of a line intersects the x-axis, has y-coordinate of 0
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"
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