Q3 MATH

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.