Hey DylanRenke.

There is a trick with two-dimensional spaces in that m1*m2 = -1 where m1 is the gradient of one line and m2 is the gradient of the perpendicular line. So if you have an equation y = m1*x + b then a perpendicular line to y will be of the form y_perp = -(1/m1)*x + b2.

So this means the tangent must be equal to -(1/m1) where m1 is the gradient obtained by simplifying 3x-96y=2 into the appropriate form to get m1.