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

Answer:

$4\sqrt{5}$ units

Step-by-step explanation:

The distance between any two points on the x y plane (a,b) and (c,d) has one of two formulas.  $\sqrt{(a-c)^2+(b-d)^2}$ or $\sqrt{(c-a)^2+(d-b)^2}$  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

$\sqrt{(3-(-1))^2+((-3)-5)^2} \\\sqrt{4^2+(-8)^2} \\\sqrt{16+64}\\\sqrt{80}$

You could simplify this to $4\sqrt{5}$

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