# How do you find the distance between (-2,3), (-1,7)?

Feb 8, 2017

$\sqrt{17}$

#### Explanation:

Think of the two points as two of the points on a triangle, with the hypotenuse between them.

The height of the triangle will be $\mod \left({y}_{1} - {y}_{2}\right) = 4$.
The base of the triangle will be $\mod \left({x}_{1} - {x}_{2}\right) = 1$.

Therefore, the hypotenuse, and by extension the distance between the points is:
$\sqrt{{4}^{2} + {1}^{2}}$
=$\sqrt{16 + 1}$
=$\sqrt{17}$

Note: $\mod$ just means that a negative result becomes positive.