Question

What is the slope of the line through (-1,4) and (5,2)

Answer 1

Slope (m) =
`-(1)/(3)`

Explanation:

Use the following equation:

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

Let:

`(x_1 , y_1) = (-1 , 4)\\(x_2 , y_2) = (5 , 2)`

Plug in the corresponding numbers to the corresponding variables:

`m = (2 - 4)/(5 - (-1)) = (2 - 4)/(5 + 1) = (-2)/(6)`

Simplify. Divide common factors from both the numerator and denominator:

`((-(2)/(6)))/((2)/(2) ) = -(1)/(3)`

`-(1)/(3)` is your answer.

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