Question

Find the distance between the points (-3,1) and (1,-4)

Answer 1

`√(41) \: \: or \: 6.4 \: \: 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

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

The distance between them is

`d = \sqrt{ ({ - 3 - 1})^(2) + ({1 + 4})^(2) } \\ = \sqrt{ ({ - 4})^(2) + {5}^(2) } \\ = √(16 + 25) \\`

We have the final answer as

`√(41) \: \: or \: 6.4 \: \: units`

Hope this helps you