Verified Answer :

use pythagorena theorme

D=\(\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}\)
NOTE: x1 and x2 means the first x and second x, not x^1 and x^2

points given are
(1,1)
(5,6)
x1=1
y1=1
x2=5
y2=6
D=\(\sqrt{(1-5)^{2}+(1-6)^{2}}\)
D=\(\sqrt{(-4)^{2}+(-5)^{2}}\)
D=\(\sqrt{16+25}\)
D=\(\sqrt{41}\)
6.403


answer is B

Use the distance formula to find the distance between two points.
D= \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)
The points are (5, 6) and (1, 1)
D= \(\sqrt{(5-1)^2+(6-1)^2}\)
D= \(\sqrt{4^2+5^2}\)
D= \(\sqrt{16+25}\)
D= \(\sqrt{41}\)
\(\sqrt{41}\) is about 6.4

B. 6.4 units

Hope this helps :)