Question

How do you find the distance between (-2,6) and (-10,-9)?

Answer 1

`d=17`

Explanation:

Find the `x` value and the `y` value of the distances and then use the squares of the `x` and `y` to find the square root of the sum of the `x` and `y` squares.

The x distance equals `-2 - (-10) = + 8`

The y distance equal `6 - (-9) = + 15`

`x^2 + y^2 = d^2`

`(8)^2 + (15)^2 = d^2`

`64 + 225 = d^2`

`289 = d^2`

`sqrt 289 = sqrt d^2`

`d=17`