Answer : Slope = -3, intersection = 11
We need to isolate for y here.
From 9x+3y=33, we need to derive a y=mx+b equation.
First, we take away 9x as follows:
9x+3y-9x=33-9x
The positive and negative values of 9x cancel our on the y side, so we are left with 3y=-9x+33
Now we need to get rid of the y coefficient:
(3y)÷3=(-9x+33)÷3
We need to effectuate the division on both sides to cancel out the coefficient, so we are left with y=-3x+11