Question

Find the distance between (6,4) and (-6,-5) by using the distance formula

Answer 1

`\boxed {d = 15}`

Explanation:

Use the Distance Formula to help determine the distance between two given points:

`d = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}`

First point:
`(x_(1), y_(1))`

Second point:
`(x_(2), y_(2))`

-Substitute both given points:

`(x_(1), y_(1)) = (6, 4)`

`(x_(2), y_(2)) = (-6, -5)`

`d = \sqrt{(-6 - 6)^(2) + (-5 - 4)^(2)}`

-Solve for the distance:

`d = \sqrt{(-6 - 6)^(2) + (-5 - 4)^(2)}`

`d = \sqrt{(-12)^(2) + (-9)^(2)}`

`d = √(144 + 81)`

`d = √(225)`

`\boxed {d = 15}`

Therefore, the distance is
`15`.