Step-by-step explanation:
when two lines are perpendicular to each other( the product of their slope; m1m2 = -1)
m1 = -1/m2
m1 = -1/-6= 1/6
using the formula m= y-y1 / x - x1
1/6 = y -7 /x - 3
6(y -7) = x -3
6y -42 = x - 3
6y - x -39 =0
Divide both sides by 6
y - 1/6 x - 13/2= 0
y = 1/6 x + 13/2