-7x - 9y = -6
-9y = 7x - 6
y = -7/9x + 2/3...slope here is -7/9....a perpendicular line will have a negative reciprocal slope. So the perpendicular line will have a slope of 9/7
2x - 6y = 6
-6y = -2x + 6
y = 1/3x - 1....the y int here is -1
so ur equation is : y = 9/7x - 1 <==