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 transcript:

Slope

X Y = 6 9

X Y

X Y

Y X number of sessions 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

Y X cat’s age in years 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)

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

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 – m = 2 3

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) m = 8 -6 m = 4 3 -

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 = m = 2 1

Pages – 8 all

X Y =

X Y

X Y

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

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

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

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

Y X number of sessions 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

Y X cat’s age in years 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)