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x-coordinate
The distance of the point from the origin measured along the x-axis.
origin
The intersection of the point of the x-axis and y-axis.
coordinates
The ordered pair that represents a point.
x-intercept
The point at which the graph of an equation crosses the x-axis.
y-coordinate
The distance of the point from the origin measured along the y-axis.
x-axis
The line on the Cartesian plane that runs horizontally.
cartesian plane
Defined as two number lines that are perpendicular to each other.
y-intercept
The point at which the graph of an equation crosses the y-axis.
y-axis
The line on the Cartesian plane that runs vertically.
function
A set of ordered pairs of real numbers where no two distinct ordered pairs have the same first component.
abscissa
The x-coordinate in the ordered pair (x, y).
ordinate
The y-coordinate in the ordered pair (x, y).
Slope of a Line I
Formula for calculating the slope of a line using two points.
Slope of a Line II
Another formula for calculating the slope of a line using two points.
Slope-Intercept Form
Equation form y = mx + b where m is the slope and b is the y-intercept.
Standard Form
Equation form -x + y = b representing a line.
General Form
Equation form -x + y - b = 0 representing a line.
Graphical Solution of a System of Linear Equations
Different types of systems based on the intersection of graphs.
Independent System
System with one solution where the lines intersect.
Inconsistent System
System with no solution where the lines are parallel.
Dependent System
System with infinite solutions where the lines coincide.
SOLUTION SETS
Representations of solution sets for independent, inconsistent, and dependent systems.
Note
Flashcard