# Given the points A (0,0) & B (6,8), how do you find the distance?

Jul 25, 2018

The distance is $10$.

#### Explanation:

The formula for the distance for 2-dimensional coordinates is: $d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

We have the two coordinates, so we can plug in the values for $x$ and $y$:
$d = \sqrt{{\left(6 - 0\right)}^{2} + {\left(8 - 0\right)}^{2}}$

Now we simplify:
$d = \sqrt{{6}^{2} + {8}^{2}}$

$d = \sqrt{36 + 64}$

$d = \sqrt{100}$

$d = 10$

Hope this helps!