Question

What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​

Answer 1

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Explanation:

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Answer 2

`\boxed{m = - (33)/(14) }`

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Explanation:

Use the form below

`\boxed{\boxed{m = (y_2 - y_1)/(x_2 - x_1) }}`

Where

• 
  `m` is a slope
• 
  `(x_1,~y_1)` and
  `(x_2,~y_2)` are the point of the line

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So, the slope is

`((1)/(3) ,~ -1) \to x_1 = (1)/(3) ~and~y_1 = -1`

`(-2,~ (9)/(2) ) \to x_2 = -2~and~y_2 = (9)/(2)`

.

`m = ((9)/(2) -(-1))/(-2-(1)/(3) )`

`m = ((11)/(2) )/((-7)/(3) )`

`m = (11)/(2) / (-(7)/(3) )`

`m = (11)/(2) * (-(3)/(7) )`

`m = - (33)/(14)`

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Happy to help:)