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Actually Welcome to the concept of Lines.
We know that perpendicular lines have a inverse negative slope, such that
m1*m2 = -1
hence, m1 = -1/m2
so the perpendicular line is,
==> y-(5) = 3/2(x-(-6))
==> y+5 = 3/2(x+6)
==> y+5 = 3/2*(x) +9
=> y = 3/2(x) +9-5
==> y = 3/2*(x) + 4
hence the correct option is D.)
