Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

9
Slope or rate of change

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Transcript of Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

Page 1: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

Slopeor

rateof

change

Page 2: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

X

Y

69

23=

6

9

Page 3: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

X

Y

124

31

124

Page 4: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

X

Y

106

53

10 6

Page 5: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

Slope Formula

m = y₂ - y₁x₂ - x₁

(x₁, y₁ ) and (x₂, y₂ )Ordered pairs

Page 6: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

y₂ - y₁x₂ - 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 - 5m = 2 3

Page 7: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

y₂ - y₁x₂ - 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 - 3m = 8 -6

m = 4 3-

Page 8: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

y₂ - y₁x₂ - 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 –1m = -10 -5

m = 2 1

Page 9: Slope or rate of change. X Y 6 9 2 3 = 6 9 X Y 12 4 3 1 4.

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