Slope of a line given two points C9

Slope of a line

This table relates the convertion from feet to cm

​feet	​1	​2	​3	​4	​5	​6
​cm	​30,48	​60,96	​91,44	​121,92	​152,4	​182,88

​The function that represents that relation is y=30,48x

Multiple Choice

Which is the slope of the function y=30,48x

• 30,48x

• 30,48

• x

• y

y=30,48x

30,48 represents the change in y per each change in x

Multiple Choice

Which is the independent variable

• m

• y

• x

• 30,48

​Example

​Find the slope of the line passing through the points (1, -2) and (3, -6).

• Let (1, -2) = (x₁, y₁)

  and (3, -6) = (x₂, y₂)

• Then x₁ = 1, y₁ = -2, x₂ = 3, and y₂ = -6.

• Slope, m = (y₂ - y₁) / (x₂ - x₁)

• = (-6 - (-2)) / (3 - 1)
  = (-6 + 2) / (3 - 1)
  = (-4) / 2
  = -2

​So the slope of the given line is -2.

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Multiple Choice

What is the gradient (slope) of this line segment:

• -2

• 1/2

• -1/2

• 2