Answer
(c) $x-y=-2$
$x-y=1$
Work Step by Step
Parallel lines have the same slope, so rearranging the equations into the form y=mx+b, we get:
(a) $y=\frac{1}{2}x-\frac{3}{2}$
$y=-\frac{1}{2}x+\frac{7}{2}$
(b)$y=-x+2$
$y=-x-1$
(c)$y=x+2$
$y=x-1$
(d)$y=x+2$
$y=x+2$
(e)$y=-\frac{1}{2}x+1$
$y=-\frac{1}{2}x-\frac{1}{2}$
We can see that the last four options are parallel to each other, leaving (a) out. We see in the graph that the lines have positive slopes, so (b) and (e) are out as well. Option (d) is also out since they are the same line. That leaves us with (c), which is the correct answer.
