Question

Complete these ordered pairs for this equation. (0, ), (-2, ), (4, ) y=2x

Answer 1

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

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

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

Explanation:

we know that

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

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

`y=2x`

Complete the ordered pairs

Part 1) we have (0,?)

For x=0

Substitute in the equation and solve for y

`y=2(0)=0`

therefore

The ordered pair is (0,0)

Part 2) we have (-2,?)

For x=-2

Substitute in the equation and solve for y

`y=2(-2)=-4`

therefore

The ordered pair is (-2,-4)

Part 3) we have (4,?)

For x=4

Substitute in the equation and solve for y

`y=2(4)=8`

therefore

The ordered pair is (4,8)