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Published byTimothy Chapman Modified over 9 years ago
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Slope of Lines Sec: 3-3 Sol: G.2d
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http://www.youtube.com/watch?v=C1shoHMad zw&feature=related
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Slope Definition: denoted m, it is the vertical change (y the rise) over the horizontal change(x the run). We use the first equation when given a graph, the second when given two points.
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Find the Slope of the line.
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Find the slope of the line passing through the points (-4, -5)(6, -2) Try these: 1.(0, 3)(4, 8) 2.(-5, 1)(5, -4) 3.(-3, -2)(6, 1)
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Classification of lines by slope Negative slope Positive slope Undefined Slope Zero Slope
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Parallel lines: Are two lines in a plane that do not intersect. Two lines are parallel IFF (if and only if) they have the same slope. m 1 =m 2 Perpendicular lines: Two lines in a plane the intersect to form a right angle. Two lines are perpendicular IFF their slopes are negative reciprocals of each other. or
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Ex: Given P(-2, 2), Q(2, 1), R(1, -1), and S(5, -2), determine if is parallel to or perpendicular to.
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Example Graph the line that passes through the point (3, 5) that is perpendicular to TK with T(0, 2) and K(5, 0).
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Rate of Change Is a comparison of how much one quantity changes, on average, relative to the change in another quantity. 0 1000 2000 60120180 (60,1000) (180,0) (0,2000) Because the line goes down it is descending 8(1/3) ft/sec
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Assignments Classwork: Workbook Homework: pg 142 – 143 16 – 38 even 44-46
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