When the y is isolated on one side and is not multiplied by anything (other than one), the slope is the value before the x. In this case, it's 1/6. And in if y is perfectly isolated, then the y-intercept is the value after the x, which is positive 3/2 in this case.
He is correct and incorrect. 2 and 4 can create factors but they can also be factors of other numbers. So 8 can be a factor of bigger whole numbers and can also have it own smaller factors.