Question

Find the distance between the points L(7,-1) and M(-2, 4).

Answer 1

The answer is

`√(106) \: \: \: or \: \: \: 10.3 \: \: \: \: 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

L(7,-1) and M(-2, 4)

The distance between them is

`|LM| = \sqrt{ ({7 + 2})^(2) + ( { - 1 - 4})^(2) } \\ = \sqrt{ {9}^(2) + ({ - 5})^(2) } \\ = √(81 + 25) \\ = √(106) \: \: \: \: \: \: \: \\ = 10.29563014...`

We have the final answer as

`√(106) \: \: \: or \: \: \: 10.3 \: \: \: \: units`

Hope this helps you