Line A is both perpendicular to line B and parallel to line C. If the slope of C is 14/5, which of the following is the slope of B?

14/5
5/14
-5/14
-15/4

Since line A is both perpendicular to line B and parallel to line C, the slope of line B must be equal to the negative reciprocal of the slope of line C.

The reciprocal of 14/5 is 5/14, and the negative reciprocal is -5/14.

Therefore, the correct answer is -5/14.