What is the equation of the line that passes through the point ( 6 , − 5 ) (6,−5) and has a slope of − 1 3 − 3 1 ​ ?

Answer 1

line with slope = -1/3 through the point (6,-5) is

y+5 = -(1/3)(x-6)

in point slope form

or

y = -x/3 -3 in slope intercept form

or

x+ 3y = -9 in standard form

or

x+3y + 9 = 0 in general form

assuming you meant slope = -1/3, and not -13 or -31