To find the number of points at which the functions f(x) = 2x - 8 and g(x) = 2x - 14 intersect, we can set the two equations equal to each other and solve for x.
Setting f(x) = g(x), we have:
2x - 8 = 2x - 14
Now, we can solve for x:
2x - 2x = -14 + 8
0 = -6
The equation 0 = -6 is not true for any value of x. This means that the two functions f(x) and g(x) do not intersect. Therefore, they have zero points of intersection.