Question

Find the distance between the points (−5,5) and (−6,2).

Answer 1

Step-by-step explanation:

Let A = (-5, 5) B = (-6, 2)

$AB = \: \sqrt{ {(x2 -x1)}^{2} + ( {y2 - y1})^{2} }$

$AB = \: \sqrt{ {(5 - ( - 5))}^{2} + ( {2- (- 6)}^{2} }$

$AB = \sqrt{ {10}^{2} - {8}^{2} }$

$AB = \: \sqrt{100 - 64}$

$AB = \: \sqrt{36}$

$AB = \: 6$