Question

Find the distance between the two points in simplest radical form. (-2,1) and (-8,9)

Answer 1

Answer:

The answer is

10 units

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,1) and (-8,9)

The distance between them is

$d = \sqrt{ ({ - 2 + 8})^{2} + ({1 - 9})^{2} } \\ = \sqrt{ {6}^{2} + ({ - 8})^{2} } \\ = \sqrt{36 + 64} \: \: \: \: \: \: \: \\ = \sqrt{100} \\ = 10 \: \: \: \: \: \:$

We have the final answer as

10 units

Hope this helps you