Question 189776
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Given line Eqn ---> <font color=blue>x-y=-5</font>


Via Slope intercept Form,  {{{y=mx+b}}};
{{{x-y=-5}}} ---> {{{x+5=y}}}
where{{{system(Slope=m=1,yIntercept=5)}}}



Let us see x-Intercept, let Fy=0:
{{{x+5=0}}}
{{{red(x=-5)}}}


let us plot:
{{{drawing(400,400,-8,8,-8,10,graph(400,400,-8,8,-8,10),green(circle(-5,0,.16)),green(circle(0,5,.16)))}}} ---->{{{drawing(400,400,-8,8,-8,8,grid(1),graph(400,400,-8,8,-8,8,x+5),green(circle(-5,0,.16)),green(circle(0,5,.16)),blue(circle(2,7,.10)))}}}


*The line passes thru (2,7), therefore  it's a solution.


*One way to verify, substitute (2,7) to our given eqn:
{{{x-y=-5}}}
{{{2-7=-5}}}
{{{-5=-5}}}, it satisfies the eqn.


Thank you
Jojo</font>