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Answer:

see explanation!

Step-by-step explanation:

Line N

  • A set of points where the coordinates of each point have a sum of 2

Line M

  • A set of points where the y-coordinates of each point is 10 less than its x-coordinate

Any coordinate on N has a sum of 2.

Any coordinate on M has a y that is 10 less than the x.

The matching of the given labeled points provided on the graph regarding their statements would be as follows:

  • Line n - A set of points where the coordinates of each point have a sum of 2
  • Line m - A set of points where the y-coordinate of each point is 10 less than the x-coordinate.

The points that line m represent would be:

Point E  [tex](13, 3)[/tex]

Point B  [tex](6, -4)[/tex]

Point D  [tex](2, -8)[/tex]

The points signalled by line n are as follows:

Point A [tex](-2, 4)[/tex]

Point B  [tex](6, -4)[/tex]

Point C  [tex](12, -10)[/tex]

Now, if we solve for lines

Line m

[tex]x_{1} + y_{1} \\= 13 + 3\\= 16[/tex]

While for Line n

Point A

[tex](x_{1} + y_{1}) = (-2 + 4) \\= 2[/tex]

Point B

[tex]x_{2} + y_{2} = 6 + (-4) \\= 2[/tex]

Thus, the correct match would be as above.

Learn more about "Coordinates" here:

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