Linear Equations and Graphing Basics

Flashcards covering key definitions related to linear equations (one and two variables), ordered pairs, solving for missing values, and basic graphing concepts like origin, quadrants, and plotting points.

Linear Equation (one variable)

An equation with a single variable, where the highest power of the variable is one, resulting in a single numerical solution.

Linear Equation (two variables)

An equation with two variables (typically x and y), where each variable is raised to the power of one, and its solution is an ordered pair (x, y).

Ordered Pair

A pair of numbers (x, y) that represents a single point on a coordinate plane and serves as a solution to a linear equation in two variables.

Checking if an Ordered Pair is a Solution

The process of substituting the x and y values from an ordered pair into a linear equation to verify if it results in a true statement.

Completing Ordered Pairs

The method of finding a missing coordinate (x or y) of an ordered pair by substituting the known coordinate into a linear equation and solving for the unknown variable.

Table of Values

A systematic list of ordered pairs (x, y) that satisfy a given linear equation, often used to help visualize or graph the line.

Origin

The point (0, 0) where the x-axis and y-axis intersect on a coordinate plane.

Quadrants

The four regions of a coordinate plane created by the intersection of the x-axis and y-axis, typically numbered counterclockwise starting from the top-right.

Plotting Points

The process of locating and marking an ordered pair (x, y) on a coordinate plane using its x-coordinate (horizontal position) and y-coordinate (vertical position).