I need to know what the perpendicular equation is to x-3y=6 with the line through (-2,-9)

What you have to do is solve for y. The slope is going to be the same slope as the one you have, but it is going to be negative and inverse, meaning it is going to be one over the number. To find b (the form of the equation is y=mx+b where m is the slope) you just plug in the values for x and y.