Question 486515
We write the equation -7x+9y=-2 in the slope intercept form {{{y=(7/9)*x-2/9}}}

As we know perpendicular lines have reciprocal negatives slopes.

Therefore we must find the equation of a line with slope -9/7 through the point

(-7, 6). This equation is given by the formula {{{y-y[0]=m(x-x[0])}}}, 

substituting we get: {{{y-6=(-9/7)(x+7)}}}. Simplifying this equation we get:

{{{y=(-9/7)x-3}}}, what is the required equation.