Question

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)
Responses

The graph of x+y=2 is incorrect. The lines should intersect.
The graph of x plus y equals 2 is incorrect. The lines should intersect.

The graph of −x+y=7 is incorrect. The lines should intersect.
The graph of negative x plus y equals 7 is incorrect. The lines should intersect.

The graph of −x+y=7 is incorrect. The lines should be parallel.
The graph of negative x plus y equals 7 is incorrect. The lines should be parallel.

Both graphs are correct. The lines should be parallel.

Answer 1

are you sure

Answer 2

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) Responses The graph of −x+y=7 is incorrect. The lines should be parallel.
The graph of x+y=2 is incorrect. The lines should intersect.
Both graphs are correct. The lines should be parallel.
The graph of −x+y=7 is incorrect. The lines should intersect.

Answer 3

The statement "Both graphs are correct. The lines should be parallel." is correct.

Answer 4

Apologies for any confusion. You're correct - this was misleading. The two given lines are not parallel. They will intersect because the slopes are not equal (for the first equation, slope is -1, for the second, it is 1). So, the correct response would be something similar to "Both graphs should be correct and the lines should intersect.". The information to accurately determine if the graphs are drawn correctly or not wasn't provided. Please disregard the misleading previous response.

Answer 5

The graph of a system of equations x+y=2 and -x+y=7 should show two intersecting lines, not parallel lines. The correct response would be "The graph of -x+y=7 is incorrect. The lines should intersect." or "The graph of x+y=2 is incorrect. The lines should intersect." depending on which graph is incorrect. Both lines cannot be correct if they are parallel because the given equations are not parallel lines.