Solve: `-6y - x - 18 = 0` for y.
In order to solve for y we most move everything to the right of the equal sign. We do this by "undoing" the operation.
First, add 18 to both sides. When we do this, (-18 + 18) on left will make 0. This gives:
`-6y - x = 18` Next we will add x to both sides to "undo" the minus x. Just like the 18 on previous step. This gives:
`-6y = x + 18` Finally, we will divide all terms by -6, as -6/-6 will make just 1y. This gives:
`(-6y)/-6 = x/-6 + 18/(-6)`
``Simplify everything to give:
`y = -1/6x - 3`
Now that it is written as y = mx + b we can identify slope and y-intercept.
m - slope = `-1/6`
b - y-intercept = `-3`