Question

Use the distance formula to find the length of the line with endpoints at (1,3) and (3,1)?

√8
8
√32
32

Answer 1

Let's plug the coordinate point values into the equation:

`\sqrt{(3-1)^(2) +(1-3)^(2) }`
(1,3) is x₁ and (3,1) is x₂
Begin to simplify within the parenthesis:

`\sqrt{2^(2)+(-2)^(2) }`
Square the two numbers:

`√(4 + 4)`
Add the two to get:

`√(8)`
Since 8 is not a square number, this is as far as we can simplify this. Hope this helps!