Asked by nk
Does the graph show the system of equations x + y = 2 and -x + y = 7? Should the lines for the
system be parallel?
(1 point)
• The graph of -x + y = 7 is incorrect. The lines should intersect.
• Both graphs are correct. The lines should be parallel.
• The graph of x + y = 2 is incorrect. The lines should intersect.
• The graph of -x + y = 7 is incorrect. The lines should be parallel.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: The first choice.
Reason: x + y = 2 is y = -x + 2 (slope −1). -x + y = 7 is y = x + 7 (slope 1). The slopes differ, so the lines should intersect — if the graph shows them parallel, the -x + y = 7 line was graphed incorrectly.
Reason: x + y = 2 is y = -x + 2 (slope −1). -x + y = 7 is y = x + 7 (slope 1). The slopes differ, so the lines should intersect — if the graph shows them parallel, the -x + y = 7 line was graphed incorrectly.
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