What is the distance between (-1, 2) and (3, 5)

Question

asked Apr 23, 2022 146k views

2 Answers

Felix Borzik · Answer 1 · 2022-04-24T19:52:51+0000

Answer:

The distance is 5 units.

Explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

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
(x_1, y_1) and
(x_2, y_2) , the distance between the 2 points would be:
$\sqrt{(x_2 - x_1)^(2) + (y_2 - y_1)^(2)}$ .

3) For the points (-1,2) and (3,5):

4) Therefore it would be -->
$\sqrt{(-1 - 3)^(2) + (5-2)^(2)}$

5) This simplified would be
$\sqrt{(-4)^(2) + 3^(2)}$

6) This further simplified would be:
√(16 + 9)

7) This even more simplified would be
√(25) which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D