Question

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

Answer 1

Answer:

The answer is 5 units

Step-by-step 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

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

We have the final answer as

5 units

Hope this helps you