Question

Find the distance between A(1, -1) and B(4, 3).

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

A(1, -1) and B(4, 3)

The distance between them is

`|AB| = \sqrt{ ({1 - 4})^(2) + ({ - 1 - 3})^(2) } \\ = \sqrt{( { - 3})^(2) + ({ - 4})^(2) } \\ = √(9 + 16) \\ = √(25) \: \: \: \: \: \: \: \: \\ = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\`

We have the final answer as

5 units

Hope this helps you