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: 
$\sqrt{4 + 4}$ 
Add the two to get: 
$\sqrt{8}$ 
Since 8 is not a square number, this is as far as we can simplify this. Hope this helps!