PP Section 1.6 - Equations of Lines Objectives Calculate...

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Equations of Lines Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use the Point-Slope Form of a Line Find the Equation of a Line Given Two Points Write the Equation of a Line in Slope-Intercept Form Define Parallel and Perpendicular Lines Find Equations of Parallel Lines Find Equations of Perpendicular Lines
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Let and be two distinct points with . The slope m of the non-vertical line L containing P and Q is defined by the formula ( 29 1 1 , y x P = ( 29 2 2 , y x Q = 2 1 x x 2 1 1 2 1 2 x x x x y y x y m - - = = If , L is a vertical line and the slope m of L is undefined (since this results in division by 0). 2 1 x x =
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Example: Find the slope of the line joining the points (3,8) and (-1,2). ( 29 ( 29 ( 29 ( 29 x y x y 1 1 2 2 3 8 1 2 , , , , = = - m y y x x = - - 2 1 2 1 m = - - - 2 8 1 3 = - - = 6 4 3 2
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, ) x y 1 1 Q = ( , ) x y 1 2 L y x If , then is zero and the slope is undefined. Plotting the two points results in the graph of a vertical line with the equation . 2
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This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.

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PP Section 1.6 - Equations of Lines Objectives Calculate...

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