Answer:
[tex]y-(-1)=-\dfrac{1}{3}(x-6)[/tex]
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is [tex]-\dfrac{1}{3},[/tex] then the equation of the parallel line that passes through the point (6,-1) in point-slope form is
[tex]y-(-1)=-\dfrac{1}{3}(x-6).[/tex]