Question

What is the distance between the points (4,-2) and ( -1, 10)​

Answer 1

The answer is 13 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 (4,-2) and ( -1, 10)

The distance between them is

`d = \sqrt{ ({4 + 1})^(2) + ({ - 2 - 10})^(2) } \\ = \sqrt{ {5}^(2) + ({ - 12})^(2) } \\ = √(25 + 144) \\ = √(169)`

We have the final answer as

d = 13 units

Hope this helps you