To determine whether the lines represented by the equations \( x + y = 2 \) and \( -x + y = 7 \) are parallel or intersecting, we first need to analyze the slopes of each line.
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Equation: \( x + y = 2 \)
- Rearranged: \( y = -x + 2 \)
- Slope: -1
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Equation: \( -x + y = 7 \)
- Rearranged: \( y = x + 7 \)
- Slope: 1
Since the slopes of the two lines are different (-1 and 1), the lines are not parallel and will intersect at some point.
Therefore, the correct choice based on these analyses is:
The graph of -x + y = 7 is incorrect. The lines should intersect.