Question

Find the distance between the points (5,-8) and (-7,-3)

Answer 1

Distance:

`d = 13`

Explanation:

-To determine the distance, use the "distance formula":

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

-Apply the points
`(5,-8)` and
`(-7,-3)` for the distance formula:

`d = √((-7 - 5)^2 + (-3 + 8)^2)`

-Then, solve the equation:

`d = √((-7 - 5)^2 + (-3 + 8)^2)`

`d = √((-12)^2 + (5)^2)`

`d = √(144 + 25)`

`d = √(169)`

`d = 13`

So, the actual distance is
`13`.