# On a coordinate grid what is the distance from C(5, 8) to D(5, 1)?

On a coordinate grid what is the distance from C(5, 8) to D(5, 1)?
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Simeon Hester
Given the two points $\left({x}_{1},{y}_{1}\right)\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}\left({x}_{2},{y}_{2}\right)$, the Distance between them is given by the formula:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
Here, the coordinates of the points are (5,8)and(5,1)
${d}_{CD}=\sqrt{{\left(5-5\right)}^{2}+{\left(1-8\right)}^{2}}$
$\sqrt{{\left(0\right)}^{2}+{\left(-7\right)}^{2}}$
$\sqrt{0+49}$
$\sqrt{49}$
= 7 units
The distance from C(5, 8) to D(5, 1) is 7 units.