Answer: y = 2/3x + 41/3
Step-by-step explanation:
First convert the equation into slope-intercept Â
3x + 6y = 4y  - 4
   -4y   -4y
3x + 2y = -4
-3x       -3x
 2y = -3x - 4
 y = -3/2x - 2 Â
Perpendicular lines have a negative reciprocal for their slopes.
The negative reciprocal of -3/2  is  2/3
Now using the slope 2/3 you will use the formula  y =mx +b  and input the  slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.
 7 = 2/3(-10) + b
 7 = -20/ 3 + b Â
+ 20/3 Â + 20/3
 b =  20/3 + 21/3 = 41/3 Â
Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3
 Â