Chapter 3Linear Equations and Graphs Flashcards
The Cartesian coordinate system was named after
René Descartes
It consists of two real number lines:
horizontal axis (x-axis) and the vertical axis (y-axis)
The two number lines divide the plane into four areas called .
quadrants
The quadrants are numbered using
Roman numerals
An is a pair of elements or numbers written in a specific and fixed order.
ordered pair
On a Cartesian plane, an ordered pair (x, y) is defined as theof a point
coordinates
The two axes intersect at the
origin
The ordered pair defines the position of origin.
(0,0)
The first element “x” is known as
x-coordinateor abscissa.
The second element “y” is known as
y-coordinateor ordinate
If A = 0 and B is not equal to zero, then the graph is a
horizontal line
If A is not equal to zero and B = 0, then the graph is a
vertical line
If A is not equal to zero and B is not equal to zero
slope-intercept form
where m is the slope and (x1, y1) is a given point
Point-Slope Form
A in two variables is an equation that can be written in the standard form
linear equation
standard form
Ax + By = C, where A, B, and C are constants (A and B not both 0), and x and y are variables.
A of an equation in two variables is an ordered pair of real numbers that satisfy the equation.
solution
The of an equation in two variables is the set of all solutions of the equation.
solution set
The of an equation is the graph of its solution set.
graph
