Question

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

Answer 1

`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(y_1 - y_2) = 4`.
The base of the triangle will be `mod(x_1 - x_2) = 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.