Question 109888
x+y=3 [re-write in the slope-intercept form: y=mx+b]
y=-x+3
SLope = m = -1
y-intercept = 3 at point (0, 3)
and
x+y=-1
x+y=-x-1
Slope=m=-1
y=intercept = (-1) or (0, -1)
.
Since the slopes are equal, the lines will be parallel.
.
Graphing using the y-intercept and counting up or down; left or right for the slope gives:
{{{ graph( 300, 200, -6, 5, -10, 10, -x+3, -x-1) }}}