# How do you find the length of the line segment between the points (5,1) and (5,6)?

and you see the length that is going to be $5$.
$d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$
$d = \sqrt{{\left(5 - 5\right)}^{2} + {\left(1 - 6\right)}^{2}} = 5$