To analyze the system of equations given:
1. The first equation is \( x + y = 2 \).
2. The second equation is \( -x + y = 7 \) (which can also be written as \( y = x + 7 \)).
To check if the lines are parallel or if they will intersect, we can rearrange both equations into slope-intercept form (y = mx + b):
1. For \( x + y = 2 \):
\[
y = -x + 2
\]
(slope = -1, y-intercept = 2)
2. For \( -x + y = 7 \) (or \( y = x + 7 \)):
\[
y = x + 7
\]
(slope = 1, y-intercept = 7)
Since the slopes of the two lines are different (-1 for the first line and +1 for the second line), the lines will intersect at one point rather than being parallel.
So, the correct response is:
**The graph of −x+y=7 is incorrect. The lines should intersect.**