Question

Please Help, I can't figure out this problem

Find the distance between the points (9,-7) and (5, -4).

A.

`√(137)`
B.
5

C.

`√(7)`
D.
25​

Answer 1

The answer is 5 units

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

`d = \sqrt{ ({9 - 5})^(2) + ({ - 7 + 4})^(2) } \\ = \sqrt{ {4}^(2) + ({ - 3})^(2) } \\ = √(16 + 9) \\ = √(25)`

We have the final answer as

5 units

Hope this helps you