Graphing Equations

Study Guide

Terms

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Terms

Data Table

A list of x-values and their corresponding y-values.
Negative Slope

y always decreases when x increases and y always increases when x decreases.
Ordered Pair

A pair of numbers in a specific order. For example, (3, 7) and (8, - 1) are ordered pairs. Two ordered pairs are equivalent if their first members are equal and their second members are equal. However, the order of the two numbers is important; (1, 2) is not equivalent to (2, 1).
Origin

The point (0, 0).
Parallel Lines

Two lines are parallel if they have the same slope. Parallel lines, when extended, do not intersect at any point.
Perpendicular Lines

Two lines are perpendicular if their slopes are opposite reciprocals of each other. Perpendicular lines intersect each other at right angles.
Positive Slope

y always increases when x increases, and y always decreases when x decreases.
Slope

Given two points (x₁, y₁) and (x₂, y₂) on a line, the slope of the line is equal to:

m =
x-axis

The horizontal axis of a graph, with which the x-values are plotted.
x-coordinate

The number which corresponds to the value of x in an ordered pair.
x-intercept

The point at which the graph of a line crosses the x-axis. The point at which y = 0.
xy-graph

A two-dimensional way of representing points. x-values are plotted with the horizontal axis, and y-values are plotted with the vertical axis.

xy-graph

xy-graph
y-axis

The vertical axis of a graph, with which the y-values are plotted.
y-coordinate

The number which corresponds to the value of y in an ordered pair.
y-intercept

The point at which the graph of a line crosses the y-axis. The point at which x = 0.

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