Question

What is the distance between `(5,-10)` and `(4,-2)`?

Answer 1

`sqrt(65)`.

Explanation:

You would apply the distance formula here, which is `sqrt((x_1-x_2)^2+(y_1-y_2)^2)`.

When you plug it in, you get `sqrt((5-4)^2+(-10+2)` - the `-10-(-2)` is the same thing as `-10+2`.

This simplifies to `sqrt((1)^2+(8)^2)`, or just `sqrt(1+64)`, and then to just #sqrt(65).