What is the distance between the points (2, 3) and (7, 4)?

Dec 9, 2016

The distance between these points is $\sqrt{26}$ or 5.1 rounded to the nearest tenth.

Explanation:

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 points we are provided and solving gives:

$d = \sqrt{{\left(7 - 2\right)}^{2} + {\left(4 - 3\right)}^{2}}$

$d = \sqrt{{5}^{2} + {1}^{2}}$

$d = \sqrt{25 + 1}$

$d = \sqrt{26}$