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03.03 SKM & PP 1 Slope
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03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The denominator can’t be zero.
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03.03 SKM & PP 3 A Slope Triangle P 1 (x 1, y 1 ) RUN x 2 - x 1 RISE y 2 - y 1 P 2 (x 2, y 2 ) RISE y 2 - y 1 x 2 - x 1 RUN
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03.03 SKM & PP 4 m
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03.03 SKM & PP 5 Compute the Slope (-2, -3) (4, -1) upwards
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03.03 SKM & PP 6 Another Slope (-4, -3) (0, 5) upwards
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03.03 SKM & PP 7 Compute this Slope (-5, 2) (4, -1) DOWNWARDS
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03.03 SKM & PP 8 Compute the Slope (-5, -1) (4, -1) HORIZONTAL
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03.03 SKM & PP 9 Compute the Slope (-4, -5) (-4, 0) VERTICAL
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03.03 SKM & PP 10 SLOPE BASICS POSITIVE SLOPE The line rises from left to right. ZERO SLOPE The line is HORIZONTAL (zero rise) NEGATIVE SLOPE The line falls from left to right. UNDEFINED SLOPE The line is VERTICAL (zero run)
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03.03 SKM & PP 11 Practice Problem 1a Determine the slope of the line containing points P 1 and P 2. RUN = 3 RISE = 2 The line rises from left to right.
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03.03 SKM & PP 12 Practice Problem 1b Determine the slope of the line containing points P 1 and P 2. The slope is undefined. Vertical Line
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03.03 SKM & PP 13 Practice Problem 1c Determine the slope of the line containing points P 1 and P 2. RUN = 2 RISE = -1 The line falls from left to right.
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03.03 SKM & PP 14 Practice Problem 1d Determine the slope of the line containing points P 1 and P 2. RUN = 6 RISE = 0 The line is Horizontal.
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03.03 SKM & PP 15 That’s All for Now!
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