# What is the distance between (2,-6) and (7,4)?

Payton Rasmussen 2022-09-07 Answered
What is the distance between (2,-6) and (7,4)?
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Danielle Gilbert
The formula for calculating the distance between two points is:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
Substituting the values from the points in the problem gives:
$d=\sqrt{{\left(7-2\right)}^{2}+{\left(4+6\right)}^{2}}$
$d=\sqrt{{5}^{2}+{10}^{2}}$
$d=\sqrt{25+100}$
$d=\sqrt{125}$
$d=5\sqrt{5}$