Answer:
y = -1/3x + 1
Explanation:
1) For a perpendicular line, the slope is the opposite reciprocal. What this means is that, the slope will be the opposite sign and flipped.
~-1/3 will be the new slope
2) Then you have to rewrite the problem using the point slope form which is y - y1 = m(x-x1). The values that we will be plugging in for x1 and y1 will be from the coordinate that you provided.
~ y - (-2) = -1/3(x-9)
3) Now simplify everything you can
~y+2 = -1/3(x-9)
4) Now distribute the -1/3
~y+2 = -1/3x + (9)(1/3)
~y+2 = -1/3x + 3
5) Now we need to subtract 2 from both sides to get y by itself.
~y = -1/3x + 1