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Match the lines m and n to the statements they represent

Sagot :

MrRoyalidn

Answer:

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

Step-by-step explanation:

Given

Lines m and n (See attachment)

Required

Interpret both lines

First, we pick few coordinates of line m and then line n.

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex](x_3,y_3) = (2,-8)[/tex]  -- At point D

For n

[tex](x_1,y_1) = (-2,4)[/tex] -- At point A

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex](x_3,y_3) = (12,-10)[/tex]  -- At point C

Test for Statement A:

Set of point with a sum of 2

i.e.

[tex]x + y = 2[/tex]

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex]x_1 + y_1 = 13 + 3 = 16[/tex]

This statement is not true for line m

For n

[tex](x_1,y_1) = (-2,4)[/tex] -- At point A

[tex]x_1 + y_1 = -2 + 4 = 2[/tex]

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex]x_2 + y_2 = 6- 4 = 2[/tex]

[tex](x_3,y_3) = (12,-10)[/tex]  -- At point C

[tex]x_3 + y_3 = 12- 10 = 2[/tex]

This statement is true for line n

Test for Statement 2:

Set of points where y is x - 10

i.e.

[tex]y = x - 10[/tex]

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex]y_1 = x_1 - 10[/tex]

[tex]3 = 13 - 10[/tex]

[tex]3 = 3[/tex]

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex]y_2 = x_2 - 10[/tex]

[tex]-4 = 6 - 10[/tex]

[tex]-4 = - 4[/tex]

[tex](x_3,y_3) = (2,-8)[/tex]  -- At point D

[tex]y_3 = x_3 - 10[/tex]

[tex]-8 = 2 - 10[/tex]

[tex]-8 = -8[/tex]

This statement is true for line m

View image MrRoyal
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