Question 159950
Put your equations into slope-intercept form, {{{y=mx+b}}}, where
the slope is m and the y-intercept is b.
1.{{{y=x+12}}}
This equation is already in slope-intercept form.
{{{m[1]=1}}}
2.{{{y-x=-8}}}
2.{{{y=x-8}}}
{{{m[2]=1}}}
Parallel lines have equal slopes.
Yes, the two lines are parallel. 
.
.
.
Here they are graphed together.
{{{ graph( 300, 300, -5, 5, -20, 20, x+12, x-8) }}}