Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Match the lines m and n to the statements they represent

Sagot :

MrRoyal

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
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.