Question

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

Answer 1

Answer:

The answer is

$2 \sqrt{2 } \: \: or \: \: 2.828 \: \: \: units$

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

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

The distance between them is

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

We have the final answer as

$2 \sqrt{2 } \: \: or \: \: 2.828 \: \: \: units$

Hope this helps you