The vertices of triangle ABC are A(-2,1), B(4,8)

and C(14,-3). If point M(h,0) lies on line segment AC, find h.

I found the slope of AC to be -1/4.

I then did the following:

-1/4 = (0-1)/(h + 2)

I found h to be 2 but the answer ish = -3.

What did I do wrong?