You said y - 2 = 6x + 3
Watch me carefully:
Add 2 to each side: y = 6x + 5
There's your slope/intercept form.
m = slope = 6
b = intercept = 5
I'm sorry you squandered your points like that.
At first I wasn't going to take them, but I knew that
somebody else would just come along and grab them,
so I decided why not.