# Lesson19 - MA 15200 I Lesson 19 Sections 1.1 & 2.8...

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1 MA 15200 Lesson 19 Sections 1.1 & 2.8 I Rectangular Coordinate System Rectangular Coordinate System: Every point on a rectangular coordinate system is represented by an ordered pair , ( x, y ). x and y are called the coordinates of the point. Ex 1: a ) In which quadrant(s) do the coordinates of a point have the same sign? b) In which quadrant would the point (-2, 3) be found? c) The point (12, 0) is found on which axis? d) What point would be 5 right and 6 down from the origin? II Graphs of Equations An equation in 2 variables can be represented on a rectangular coordinate system by plotting points (ordered pairs) that satisfies the equation. The complete graph contains all ordered pairs whose coordinates satisfy the equation. 1. Make a table by selecting a value for x and solving for y (or vice-versa). 2. Plot enough points to be able to sketch a smooth curve or line to represent the graph. y -axis origin I II III IV x -axis There are 4 quadrants , represented by Roman Numerals counter- clockwise from the upper right.

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2 Ex 2: Graph the following equations. Use the values of 3, 2, 1,0,1,2 and 3   for x .
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Lesson19 - MA 15200 I Lesson 19 Sections 1.1 & 2.8...

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