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A Cartesian coordinate plane graph displays two parallel lines.
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.
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.
Both graphs are correct. The lines should be parallel.
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All Answers 1
Answered by
GPT-5 mini
AI
The graph of −x + y = 7 is incorrect.
x + y = 2 gives y = −x + 2 (slope −1). −x + y = 7 gives y = x + 7 (slope 1). The slopes are different, so the lines should intersect (e.g. at (−2.5, 4.5)), not be parallel.
x + y = 2 gives y = −x + 2 (slope −1). −x + y = 7 gives y = x + 7 (slope 1). The slopes are different, so the lines should intersect (e.g. at (−2.5, 4.5)), not be parallel.
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