Question

Find the distance between E(-3,4) and B(-1,6)​

Answer 1

The answer is

`2 √(2 ) \: \: or \: \: 2.828 \: \: \: 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

E(-3,4) and B(-1,6)

The distance between them is

`|EB| = \sqrt{ ({ - 3 + 1})^(2) + ({4 - 6})^(2) } \\ = \sqrt{ ({ - 2})^(2) + ({ - 2})^(2) } \\ = √(4 + 4) \ \ \\ = √(8)`

We have the final answer as

`2 √(2 ) \: \: or \: \: 2.828 \: \: \: units`

Hope this helps you