Question

what is a equation to a line that is paraell to (12,6) and (37,13) and passes through (8,12)

Answer 1

parallel => slope is the same.

Answer 2

So find the slope\[m=(y _{2}-y _{1})/(x _{2}-x _{1})=(13-6)/(37-12)=7/25\]

Answer 3

Now that we have the slope, we can use it and the required point in the point-slope form to get an equation of the line. Recall
\[y−y_1=m(x−x_1)\]
so,
\[y−12=(7/25)(x−8)\]
Since the form of the answer wasn't specified, I'd just leave it like that.