1st change 1 5/6 into a mixed number:
1 5/6 = 11/6
New problem:
8/10 divided by 11/6
to divide fractions you turn the 1st fraction upside down and then change the division sign to a multiplication sign:
8/10 / 11/6
10/8 * 11/6
=55/24 or 1 7/24
Start by multiplying the 9 out:
9(-6 + 8y) = -54 + 72y
Then, add the 7:
-54 + 72y + 7
Then simplify the whole thing:
-47 + 72y
The perpendicular slope is 5/4x