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Slope. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4 X Y 10 6 5 3 6.

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Presentation on theme: "Slope. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4 X Y 10 6 5 3 6."— Presentation transcript:

1 Slope

2 X Y 6 9 2 3 = 6 9

3 X Y 12 4 3 1 4

4 X Y 10 6 5 3 6

5 Y X 1 2 3 4 5 6 7 8 9 10 number of sessions 40 35 30 25 20 15 10 5 0 Cost ($) The cost of private gymnastic lessons (y) varies directly with the number of sessions (x) as shown in the graph. Constant rate of Change Constant of variation (slope) 10 1

6 Y X 2 4 6 8 10 cat’s age in years 40 35 30 25 20 15 10 5 0 Human years age A 3 year old cat is often considered to be 15 in human years. Constant rate of Change Constant of variation (slope) 25 5 5151

7 Slope Formula m = y₂ - y₁ x₂ - x₁ (x₁, y₁ ) and (x₂, y₂ ) Ordered pairs

8 y₂ - y₁ x₂ - x₁ (x₁, y₁ ) and (x₂, y₂ ) Find the slope of the line that passes thru the points (5, 2) and (8, 4) m= m = 4 – 2 8 - 5 m = 2 3

9 y₂ - y₁ x₂ - x₁ (x₁, y₁ ) and (x₂, y₂ ) Find the slope of the line that passes thru the points (3, -1) and (-3, 7) m= m = 7 – (-1) -3 - 3 m = 8 -6 m = 4 3 -

10 y₂ - y₁ x₂ - x₁ (x₁, y₁ ) and (x₂, y₂ ) Find the slope of the line that passes thru the points (1, 5) and (-4, -5) m= m = -5 – 5 -4 –1 m = -10 -5 m = 2 1

11 Pages 183 1 – 8 all

12 X Y =

13 X Y

14 X Y

15 Slope Formula m = (, ) and (, ) Ordered pairs

16 y₂ - y₁ x₂ - x₁ (, ) and (, ) Find the slope of the line that passes thru the points (5, 2) and (8, 4) m= m =

17 y₂ - y₁ x₂ - x₁ (, ) and (, ) Find the slope of the line that passes thru the points (3, -1) and (-3, 7) m= m = m =

18 y₂ - y₁ x₂ - x₁ (, ) and (, ) Find the slope of the line that passes thru the points (1, 5) and (-4, -5) m= m = m =

19 Y X 1 2 3 4 5 6 7 8 9 10 number of sessions 40 35 30 25 20 15 10 5 0 Cost ($) The cost of private gymnastic lessons (y) varies directly with the number of sessions (x) as shown in the graph. Constant rate of Change Constant of variation (slope) 10 1

20 Y X 2 4 6 8 10 cat’s age in years 40 35 30 25 20 15 10 5 0 Human years age A 3 year old cat is often considered to be 15 in human years. Constant rate of Change Constant of variation (slope) 25 5 5151


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