Answer: the slope is zero
Explanation:
The slope of a line through (a, b) and (c, d) is the difference in the second coordinates divided by the difference in the first coordinates.
This is calculated by subtracting the first point coordinates from the second point coordinates. For instance, suppose we had points (1, 3) and (6, 7), the slope would be (7 - 3)/(6 - 1) = 4/5.
For the given problem, we have slope = (2 - 2)/(14 -2) = 0/12 = 0
Notice that since we take the difference of the y-coordinates in the numerator of the slope fraction, that gives us the difference in height from one point to another. So this represents the up or down (vertical) movement as we go from one point to the next.
Since we take the difference of the x-coordinates in the denominator of the slope fraction, that gives us the difference in left-or-right from one point to another. So this represents the side-to-side (horizontal) movement as we go from one point to the next.
Thus, slope is sometimes called "rise over run" as it measures the rise or fall divided by the run towards left or right.
A slope of zero (like we got here) results when the numerator is zero - no rise or fall as we go from one point to the next. Thus, a line through the points would be perfectly horizontal.
A denominator of zero results when there is no side-to-side movement from one point to the next, so a line through the points would be perfectly vertical.
If we get a zero down in the denominator, we are dividing by zero and have an undefined expression. However, this undefined expression still tells us something useful, as it tells us that a line through the points would be perfectly vertical.
Thus, zero slope means a horizontal line and undefined slope means a vertical line.
Some of this is more than you asked for, but I hope that's okay.
I hope it helps.