Answer:
[tex]\sf y - 1 = \dfrac{1}{3} (x - 6)[/tex]
Step-by-step explanation:
Equation of line in point slope form: y - y₁ = m(x - x₁)
m₁ = -3
Product of slope of Perpendicular lines m* m₁= -1
[tex]\sf m = \dfrac{-1}{m_1}\\\\m= \dfrac{-1}{-3}\\\\ \boxed{m= \dfrac{1}{3}}[/tex]
The line passes through ( 6 , 1)
Substitute the coordinates and slope in the equation,
[tex]\sf y - 1 = \dfrac{1}{3}*(x - 6)[/tex]
