Question 769216
{{{3x-4y=10}}}
{{{-4y=-3x+10}}}
{{{(-4y)/-4=(-3x)/-4+10/-4}}}
{{{y=(3/4)x-5/2}}}
Gradients, m of the parallel lines are the same.
{{{m[1]=m[2]}}}
{{{m[2]=3/4}}}
{{{y=mx+c}}} ... Substitute x=5, y=6 and {{{m=3/4}}} into {{{y=mx+c}}}.
{{{6=(3/4)(5)+c}}}
{{{c=9/4}}} ... Substitute {{{m=3/4}}} and {{{c=9/4}}} into {{{y=mx+c}}}.
{{{y=(3/4)x+9/4}}}
{{{4y=3x+9}}}