Question 363351

2x+7y=8
7y   = -2x + 8
 y   = -2/7*x + 8/7

The slope of perpendicular line is negative reciprocal of -2/7
m = 7/2

y = mx + b

solve for b, given x =4, y=-3

-3 = 7/2 * 4 + b

-3 = 14 + b
b = -17

So equation of line is

y = 7/2 * x - 17

2y = 7x - 17

17 = 7x - 2y

7x - 2y = 17