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Graphing Equations

Terms

Introduction and Summary

Ordered Pairs

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 (x 1, y 1) and (x 2, y 2) 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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