Question

The distance between the points (-1,6) and (2,-2) is​

Answer 1

Answer:

$\bold\red{\sqrt{73}\:units}$

Step-by-step explanation:

The distance between two points (a,b) and (c,d) is given by

$\sqrt{ {(a - c)}^{2} + {(b - d)}^{2} }$

Therefore,

the distance between (-1,6) and (2,-2) is

$= \sqrt{ {( - 1 - 2)}^{2} + {(6 + 2)}^{2} } \\ \\ = \sqrt{ { (- 3)}^{2} + {(8)}^{2} } \\ \\ = \sqrt{9 + 64} \: \\ \\ = \sqrt{73}$