MTH 120 - Graphing Linear &amp; Nonlinear Equations

# MTH 120 - Graphing Linear &amp; Nonlinear Equations -...

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Chapter 11 Graphing linear equations (§11.3) In other words… Drawing straight lines on a graph; i.e., on the x and y axis Graphing nonlinear equations (§11.5) In other words… Drawing lines that are not straight on a graph

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This can be called… The Cartesian Plane, A Coordinate Plane, An X-Y Plane, x axis y axis The X- and Y-Axes, A Graph Origin (0, 0)
A point on a graph can be called… A point on a graph, An ordered pair, • An x y pair, A coordinate pair

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Think of any point on the graph as a location with 2 coordinates; i.e., an x -coordinate (which can be read off the x - axis) and a y- coordinate (which can be read off the y -axis). See examples on next page… y 6 8 10 x 2 4 6 8 -8 -6 -4 -2 2 4 -8 -6 -4 -2 -10 -10 10
Consider these four points… (5, 5) (-3, -4) +5 +5 Notice: The first number (the number on the left) is always the x value and -3 -4 (-6, 2.5) (8, -7) +8 -7 the second number (the number on the right) is always the y value. -6 +2.5

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Plotting Points on a Graph To plot a point such (7, 4) on a graph, we start at the origin and move along the x axis according to the x coordinate. Since the x coordinate is 7, we will move 7 units to the right; i.e., the positive x direction… Then we will move from our current position up or down, i.e., parallel to the y axis according to the y coordinate of the point we are trying to graph.
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