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Unformatted text preview: Lecture 2 1 Section 1.4 THE SLOPE OF A LINE Given nonvertical line L containing ( x 1 ,y 1 ) and ( x 2 ,y 2 ): Def. If line L contains points P 1 ( x 1 ,y 1 ) and P 2 ( x 2 ,y 2 ), the slope of L is Lecture 2 2 Slope as a Rate of Change If x = 1, In general , Lecture 2 3 Slope and the Graph of a Line ex. Sketch the graph of the line through the point (0 , 0) with slope A. 1 B. 3 2 NOTE: Given line L with slope m : 1) if m > 0, 2) if m < 0, 3) if m = 0, Lecture 2 4 EQUATIONS OF LINES ex. Consider a line L which is parallel to the yaxis and which crosses the xaxis at x = a . Find the equation of L . ex. Given line L with slope m containing the point ( x 1 ,y 1 ). Write the equation of L . POINT  SLOPE FORMULA FOR THE EQUATION OF A LINE Lecture 2 5 INTERCEPTS OF A GRAPH Def. An xintercept of a graph is a point ( xvalue) at which the graph crosses the xaxis. To find, A yintercept of a graph is a point( ycoordinate) at which the graph crosses the yaxis....
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 Spring '08
 Smith
 Calculus, Rate Of Change, Slope

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