Question 1104250
(fixed)



{{{-x+5y}}} keeps the same slope for the parallel line.


{{{-x+5y=-(-5)+5(-5)}}}
{{{-x+5y=5-25}}}
{{{-x+5y=-20}}}
{{{}}}

{{{highlight(x-5y=-20)}}}, which IS STILL the same slope.



You can change into slope intercept form if you want.  How?  SOLVE FOR y IN TERMS OF x.  Can you follow this?
{{{Ax+By=C}}}
{{{By=C-Ax}}}
{{{By=-Ax+C}}}
{{{y=-Ax/B+C/B}}}


Compare that to y=mx+b.  You see how the parts correspond.