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Published byDerick Cooper Modified over 9 years ago
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Introduction To Slope
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Slope is a measure of Steepness.
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Types of Slope Positive Negative Zero Undefined or No Slope
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Slope is sometimes referred to as the “rate of change” between 2 points.
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If given 2 points on a line, you may find the slope using the formula m = y 2 – y 1 x 2 – x 1
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The formula may sometimes be written as m =∆y. ∆x What is ∆ ?
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Find the slope of the line through the points (3,7) and (5, 19). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6
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(3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔
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Vertical Change Horizontal Change This ratio is also known as Rise Run
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Graph (3,2) and (-1,-1)
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Draw a line through the points.
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Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical orRise HorizontalRun
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Vertical Change or the Rise 3
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Horizontal Change or the Run 4 3
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Find the slope of the following line.
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The slope is… 1 2
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Find the slope of the line.
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The slope is…. -3
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