Step-by-step explanation:
Equation of given line:
3x+2y=2
2y=-3x+2
y=-3/2 x +2
slope =m1=-3/2
As lines are perpendicular:
m1×m2=-1
-3/2×m2=-1
required slope=m2=2/3
By using point slope form:
y-6=2/3(x-8)
3y-18=2x-16
3y=2x-16+18
3y=2x+2
y=2/3 x+2
m=2/3 ,b=2
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