Respuesta :

Answer:

Part 1) The ordered pair is (0,0)

Part 2) The ordered pair is (-2,-4)

Part 3) The ordered pair is (4,8)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have a direct variation

[tex]y=2x[/tex]

Complete the ordered pairs

Part 1) we have (0,?)

For x=0

Substitute in the equation and solve for y

[tex]y=2(0)=0[/tex]

therefore

The ordered pair is (0,0)

Part 2) we have (-2,?)

For x=-2

Substitute in the equation and solve for y

[tex]y=2(-2)=-4[/tex]

therefore

The ordered pair is (-2,-4)

Part 3) we have (4,?)

For x=4

Substitute in the equation and solve for y

[tex]y=2(4)=8[/tex]

therefore

The ordered pair is (4,8)

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