Question 1064809
Parallel lines have the same slope,
meaning the coefficients of x an y will have the same ratio.
All lines parallel to line {{{-x+3y=6}}}
will have equations of the form {{{-x+3y=K}}}
If a point with coordinates {{{system(x=3,y=5)}}} is on such a line,
substituting those values I into the equation
will give us the value v of {{{K}}} .
{{{-3+3*5=K}}}
{{{-3+15=K}}}
{{{12=K}}}
The answer is
{{{highlight(-x+3y=12)}}}