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# Section%201.1 - Section 1.1 Introduction to Graphing A...

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Math 1513 Sec 1.1 1 Section 1.1 Introduction to Graphing A coordinate system is a convenient way to visually display a relationship between two variables. To create a coordinate system, we draw two lines in a plane perpendicular to each other. The lines intersect at the point (0,0) which is called the origin . The vertical line is called the y -axis and the horizontal line is called the x -axis . The axes partition the plane into four regions called quadrants . The quadrants are numbered using Roman numerals starting in the upper right and moving counterclockwise. When plotting a point like (3, 4) in the coordinate system, the first number indicates the point’s horizontal location along the x -axis and the second number indicates the point’s vertical location along the y -axis. Thus for the point (3, 4), x = 3 and y = 4.

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Math 1513 Sec 1.1 2 Graphing Equations Example: Draw the graph of 3 4 12 y x . Your calculator can do most of the work for you in drawing this graph. You just have to help it a little. You need to rewrite the equation so that it starts out as y . For example: 4 12 3 3 4 3 3 4 12 3 4 12 4 y x y x y x y x Now we are ready to draw the graph. Press the Y= button on your calculator and enter the right side of the equation above as Y1. You could argue that the parentheses around 4/3 are not necessary. However, it never hurts to put extra sets of parentheses just to make sure the calculator does the arithmetic correctly.
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Section%201.1 - Section 1.1 Introduction to Graphing A...

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