ChIIISecI - 0.1 Dr. Raja Latif. Dept. Of Mathematics...

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0.1 Dr. Raja Latif. Dept. Of Mathemat- ics Chapter 3: Lines, Parabolas, and Systems 3.1: Lines We develop the notion of slope and di f erent fo rmso fequat ionso fl ines . Slope of a Line Many relationships between quantities can be represented conveniontly by straight lines. De f nition .L e t ( x 1 ,y 1 ) and ( x 2 ,y 2 ) be two di f erent points on a nonvertical line. The slope of the line is m = y 2 y 1 x 2
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Zero Slope horizontal line Unde f ned slope vertical line Positive slope line rises from left to right Negative slope line falls from left to right Equations of Lines Formula Name Equation Point-Slope Formula y y 1 = m ( x x 1 ) Slope-Intercept Formula y = mx + b General Formula Ax + By + C =0 Horizontal Line y = b Vertical Line x = a Parallel and Perpendicular Lines Two parallel lines have equal slopes or are vertical. The product of the slopes of two perpendicular lines is
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ChIIISecI - 0.1 Dr. Raja Latif. Dept. Of Mathematics...

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