Question

Graph the equation x-y=6

Answer 1

$x-y=6\\\\The\ slope-intercept\ form:y=mx+b\\\\-y=-x+6\\y=x-6\\\\y-intercept\ (x=0)\\y=0-6=-6\\(0;-6)\\\\x-intercept\ (y=0)\\-x+6=0\\x=6\\(6;\ 0)$

Answer 2

X-y-6=0 is the standard form you can graph this by using the y-x intercept form 
x-intercept y=0 
x-6=0 
x=6 
y-intercept, x=0 
-y-6=0 
-y=6
y=-6 
therefore you can plot points on (0,-6) and (6,0) ad connect them together