We're going to solve for Y here in order to find the slope of the given line. So if four X + 9 Y equal 8, then nine Y equal negative four X + 8 by subtracting the 4X dividing by 9, so Y equal -4 ninths X + 8 ninths. So this slope is four nights -4 nights. But the problem asks for the perpendicular slope, and the perpendicular slope is the negative reciprocal, so +9 fourths. Now we're going to use point slope form y - -2 equal 9 fourths X - 9. So y + 2, we're going to distribute out the 9 fourths. So we get 9 fourths X -, 81 force because this nine here is understood to be over one. And when we multiply 9 * 9 is 81 four times, one is 4. Then we're going to subtract the two. And because I need to combine it with that 81 force, I need to come up with a common denominator. So if I have two and I know it's understood over one, what do I have to do to get it to be over 4? I'm going to multiply the one by four, which means I've got to do the top by the same number, so I'm going to get 8 fourths. So when I subtract the two, two is really the same thing as 8 fourths. So y = 9 force, X - 89 force.