line a is both perpendicular to line b and parallel to line c. if the slope of c is 14/5 whcih of the following i 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, it means that the slopes of line a and line b are negative reciprocals of each other, whereas the slope of line c is the same as the slope of line a.

Therefore, the slope of line b is the negative reciprocal of 14/5.

The negative reciprocal of 14/5 is -5/14.

So, the correct answer is -5/14.