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Slope of Lines Sec: 3-3 Sol: G.2d zw&feature=related.

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Presentation on theme: "Slope of Lines Sec: 3-3 Sol: G.2d zw&feature=related."— Presentation transcript:

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2 Slope of Lines Sec: 3-3 Sol: G.2d

3 http://www.youtube.com/watch?v=C1shoHMad zw&feature=related

4 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.

5 Find the Slope of the line.

6 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)

7 Classification of lines by slope Negative slope Positive slope Undefined Slope Zero Slope

8 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

9 Ex: Given P(-2, 2), Q(2, 1), R(1, -1), and S(5, -2), determine if is parallel to or perpendicular to.

10 Example Graph the line that passes through the point (3, 5) that is perpendicular to TK with T(0, 2) and K(5, 0).

11 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

12 Assignments Classwork: Workbook Homework: pg 142 – 143 16 – 38 even 44-46


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