Question

Find the slope of (6,-9) and (27,5)

Answer 1

`Slope = (2)/(3)`

Explanation:

Use the slope formula:

Slope (m) =
`(y_2 - y_1)/(x_2 - x_1)`

Let:

`(x_1 , y_1) = (6 , -9)\\(x_2 , y_2) = (27 , 5)`

Plug in the corresponding numbers to the corresponding terms:

m =
`(y_2 - y_1)/(x_2 - x_1) = ((5) - (-9))/((27) - (6)) = (5 + 9)/(27 - 6) = (14)/(21)`

Remember to simplify. Divide common factors from both the numerator and denominator:

`( ((14)/(21)) )/((7)/(7) ) = ((14)/(7) )/((21)/(7) ) = (2)/(3)`

`Slope = (2)/(3)`

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