The distance between two points (a, b) and (c, d) is given by:
[tex]\sqrt[]{(c-a)^2+(d-b)^2}[/tex]For points (-4, 2) and (10, 2), we have:
a = -4
b = 2
c = 10
d = 2
Thus, the distance between those points is
[tex]\sqrt[]{\lbrack10-(-4)\rbrack^2+(2-2)^2}=\sqrt[]{(10+4)^2+0}=\sqrt[]{14^2}=14[/tex]Therefore, the answer is 14.