# Distance between (1,-6) and (4,7)?

Distance between (1,-6) and (4,7)?
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brodireo1
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:
$d=\sqrt{{\left(4-1\right)}^{2}+{\left(7--6\right)}^{2}}$
$d=\sqrt{{3}^{2}+{13}^{2}}$
$d=\sqrt{178}$
$d\cong 13.342$