Question 385134

First you find the slope of the line you were given, which is found by solving the equation for y and looking at the coefficient of x.
y=7/9x-2
So the slope of this line is m=7/9
The slope of a perpendicular line is the negative reciprocal, so the new m = -9/7.
Use the point slope formula to find the equation of the line that goes through a point with a given slope, y-y1=m(x-x1).  Your point is (-7,6) so x1=-7 and y1=6.  Plug in and solve the equation for y.

y-6 = -9/7(x- (-7))  plugged in
y-6 = -9/7x -9       distribute -9/7
y = -9/7x -3         add 6 to both sides

so the answer is y = -9/7x - 3  hope that helped!