Answer:
Mistake was in denominator.
Explanation:
If a line passes through two points ( a, b ) & ( c, d )
Then slope of this line will be =

Now we come to the question.
a student finds the slope of a line passing through ( 14, 1 ) and ( 18, 17 ) as
slope =

This formula is not the form of

Accurate answer should be
slope =

So mistake was in denominator.