E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

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E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Rectangular Coordinates KFUPM - Prep Year Math Program (c) All Right Reserved  Distance Formula  Graphs of Equations and Symmetry  The Intercepts of a Graph  Symmetry of a Graph  Equation of a Circle  Midpoint Formula

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Introduction… cont… KFUPM - Prep Year Math Program (c) 2009 All Right Reserved a.The horizontal and vertical axes are often labeled the x-axis and y-axis, but other variables may sometimes be used to label the axis. b.Usually the same unit of length is used on both axes, however, this need not to be always the case. c.The coordinates a and b of a point P(a,b) not on one of the coordinate axis, satisfy the signs indicated in the following table: Quadrant IQuadrant IIQuadrant IIIQuadrant IV

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 1 Distance Formula

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 2

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 3

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 4 We locate some points on the graph of the equation in the following table

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 5 We locate some points on the graph of the equation in the following table Points on the graph

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals The Intercepts of a Graph KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 6

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 7

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 7

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Symmetry of a Graph KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 8

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Equation of Circle & Midpoint Formula KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 9

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 10