Question

Find the distance between the points: (-1, 5) and (3, -3). In your final answer, include the formula and calculations that you used to find the distance.

Answer 1

`4√(5)` units

Explanation:

The distance between any two points on the x y plane (a,b) and (c,d) has one of two formulas.
`√((a-c)^2+(b-d)^2)` or
`√((c-a)^2+(d-b)^2)` if you use c-a you have to also use d-b, and the other way around for a-c and b-d. You can rearrange which order you add though. So with (-1,5) and (3,3) here is the math

`√((3-(-1))^2+((-3)-5)^2) \\√(4^2+(-8)^2) \\√(16+64)\\√(80)`

You could simplify this to
`4√(5)`

Let me know if there was anything you didn't understand.