College Algebra Chapters 4.1-4.2
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Graph
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Shows the relationship between two variables
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Cartesian Coordinate System
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Rectangular: locating and identifying points ; formed by two axes
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Quadrants
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Two intersecting aaxes form four quadrants. I-IV
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Origin
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Point of an intersection
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Ordered Pair
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Used to locate a point in a coordinat system of the form (x,y)
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x-coordinate
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Is the first number; is always listed first in an ordered pair
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y-coordinate
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is listed second in an ordered pair
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Linear Equation in Two Variables
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Is an equation that can be put in the form ax+by=c; a, b, and c, are real numbers
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Linear
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ax+by=c are straight lines; for this reason the equation is said to be linear
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Collinear
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A set of pairs that are on the line
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Horizontal Line
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The graph of the equation of the form y=b
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y-intercept
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point at which a graph crosses the y-axes
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x-axis
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The point of which a graph crosses the x-axis is the x-intercept
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(0,y)
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Coordinates of a graph of a y-intercept
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x-intercept
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The point at which a graph crosses the x-intercept
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Vertical Line
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The grapho of an equation of the form x=a is a veritcal line whos x-intercept is (a,0)
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y-axis
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point at which the graph crosses the y=axis is called the y=intercept
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(x,o)
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Coordinate of the graph of the x-intercept