6x - 7y = -8
-7y = -8 - 6x
Multiply everything by -1
7y = 6x + 8
y = (6x + 8)/7
y = 6x/7 + 8/7
If it's perpendicular we can say that the slope is the opposite inverse.
opposite inverse of 6/7 = -7/6
So,
(y - yo) = -7/6.(x - xo)
Now subs the point
(y - 1) = -7/6.(x - (-1))
y - 1 = -7/6.(x + 1)
y - 1 = -7x/6 - 7/6
y = -7x/6 - 7/6 + 1
y = -7x/6 + 1/6
