Step-by-step explanation:
We must use the distance formula in order to find the distance between the two points.
[tex]\[\fbox{ \( \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)}\][/tex]
In this problem :
[tex](x_1,y_1)[/tex] ⇒ (6,8)
[tex](x_2,y_2)[/tex] ⇒ (10,5)
It doesn't matter what coordinates you chose for [tex]x_1,x_2,y_1,y_2[/tex] , you can flip them and still get the same answer. Now that we have all the information, we just plug into the distance formula and solve.
Solving:
[tex]\text{Distance} = \sqrt{(10-6)^2 + (5-8)^2} \\= \sqrt{(4)^2 + (-3)^2} \\= \sqrt{16 + 9} \\= \sqrt{25} \\= \boxed{\pm5}[/tex]
Since we cannot have negative distance, our final answer will be the positive value of 5 units.
