Question

calculate the distance between the points E=(-1,-5) and F=(-8,1) in the coordinate plane. Give an exact answer (not a decimal approximation).

Answer 1

Answer:

The answer is

$\sqrt{85} \: \: \: \: units$

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

E(-1,-5) and F(-8,1)

The distance between them is

$|EF| = \sqrt{ ({ - 1 + 8})^{2} + ({ - 5 - 1})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 6})^{2} } \\ = \sqrt{49 + 36} \: \: \: \: \: \: \: \\ = \sqrt{85} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{85} \: \: \: \: units$

Hope this helps you