algebra ch 3
one of four sections into which the coordinate plane is divided
solution of an equation in two variables
An ordered pair that produces a true statement when the coordinates of the ordered pair are substituted for the variables in the equation
graph of an equation in two variables
the set of points in a coordinate plane that represent all solutions of the equation
an equation whose graph is a straight line
standard form of a linear equation
Ax + By = C, where A,B, and C are real numbers, and A and B are not both zero.
A function whose graph is a straight line.
the x-coordinate of a point where a graph crosses the x-axis
the y-coordinate of a point where a graph crosses the y-axis
The steepness of a line on a graph
rate of change
A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
y = mx + b
lines that never intersect; lines that have the same slope
y = ax
constant of variation
the number a in equations of the form y = ax
an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x
family of functions
a set of functions whose graphs have basic characteristics in common
parent linear function
The function f(x)=x, which is the most basic function in the family of linear functions.
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