Question 1039072
<font size=3 color=black>

{{{y - y[1] = m(x - x[1])}}} Point slope form



{{{y - 5 = (1/6)(x - (-1))}}} Plug in the given slope and point



{{{y - 5 = (1/6)(x +1)}}} Simplify



{{{6*(y - 5) = 6*(1/6)(x +1)}}} Multiply both sides by 6



{{{6*(y - 5) = 1*(x +1)}}} Multiply 6 and 1/6 to get 1.



{{{6y - 30 = x+1}}} Distribute



{{{6y - 30+30 = x+1+30}}} Add 30 to both sides



{{{6y = x+31}}} Simplify



{{{6y-x = x+31-x}}} Subtract x fromboth sides



{{{-x+6y = 31}}} Simplify



{{{-1*(-x+6y) = -1*31}}} Multiply both sides by -1 (to make the x coefficient positive)



{{{x-6y = -31}}} Distribute and simplify



---------------------------------------------------------



The final answer is {{{x-6y = -31}}}

</font>