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# 4-4-Find-Slope.ppt

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Geometry unit 3.7
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# 4-4-Find-Slope.ppt

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### 4-4-Find-Slope.ppt

1. 1. I love to hit the slopes 4.4 Find Slopes
2. 2. Slope is the steepness of a line. slope = vertical change horizontal change This is a rate of change
3. 3. Which mountain is steeper? Check the vertical change and horizontal change. 5000 200 200 200 5000 200 25 200 200 1
4. 4. Slope of a straight line = ∆y ∆x Slope = change in the y change in the x = rise run Greek letter delta ∆ Means the change in…
5. 5. Slope Between 2 points (x1, y1) , (x2, y2) m = 1 2 1 2 x x y y  
6. 6. Slope y x m =
7. 7. Find the slope between points (-1, -1) and (2, 3) ( x1, y1) (x2, y2) The slope is 4/3 y2 - y1 3 - - 1 x2 - x1 2 - - 1 Up 4, right 3
8. 8. Find the slope between (-3, 4) and (2, -2). 5 6 5 6 ) 3 ( 2 4 2 1 2 1 2             X X Y Y m Slope 5 6  Down 6, Right 5
9. 9. Find the slope from (-1, 3) to (4, 3). 0 5 0 ) 1 ( 4 3 3 1 2 1 2          X X Y Y m The slope is 0 A Horizontal line has zero slope.
10. 10. Find the slope of the line containing the points (2, -2) and (2, 4). 0 6 2 2 ) 2 ( 4 1 2 1 2         X X Y Y m For a vertical line slope is undefined. You cannot divide 6/0.
11. 11. Using zero in division 0 5 0 5 0 5 0 ? 0 5
12. 12. + slope - slope
13. 13. 0 slope Undefined slope
14. 14. Find the slope by counting. +2 +3 or +3 +2
15. 15. Let your path be one of harmony and tranquility.