5x - 2y = -6
2y = 5x + 6
y = 5/2 x + 3 slope = 5/2
perpendicular line, slope is opposite and reciprocal so slope = -2/5
passing (5,-4)
equation
y + 4 = -2/5(x - 5)
y + 4 = -2/5 x + 2
y = -2/5 x - 2
5y = -2x - 10
2x + 5y = -10
answer
y = -2/5 x -2
2x + 5y = -10