Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A 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 service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.