Answer:
The distance is 5 units.
Step-by-step explanation:
<u>Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition</u>
1) We are given 2 points --> (-1,2) and (3,5)
2) To find out the distance between both, we use distance formula.
This is: Given 2 points
and
, the distance between the 2 points would be:
.
3) For the points (-1,2) and (3,5):
- -1 is x1
- 2 is y1
- 3 is x2
- 5 is y2
4) Therefore it would be --> ![\sqrt{(-1 - 3)^{2} + (5-2)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1%20-%203%29%5E%7B2%7D%20%2B%20%285-2%29%5E%7B2%7D%7D)
5) This simplified would be ![\sqrt{(-4)^{2} + 3^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4%29%5E%7B2%7D%20%2B%203%5E%7B2%7D%7D)
6) This further simplified would be: ![\sqrt{16 + 9}](https://tex.z-dn.net/?f=%5Csqrt%7B16%20%2B%209%7D)
7) This even more simplified would be
which is 5.
Therefore, the distance between the 2 points is 5 units.
<em>Hope you understood and have a nice day!! :D</em>