Question

The ordered pair that is a solution of the equation y = 2x - 4 is

Answer 1

Hello there. To solve this question, we have to remember some properties about ordered pairs and equations.

Given the equation:

`y=2x-4`

We want to determine the ordered pair that is solution to this equation.

First, remember what is an ordered pair:

An ordered pair is a 2 element tuple (list) that has its elements disposed as

`(x,\text{ }y)`

In this case, all solutions x to this equation will be given as the following ordered pairs:

`(x,\,2x-4)`

And these points lies on the line y = 2x - 4, all across the xy-plane.

Okay. Now, we have to check which of the options are correct.

For this, you take the first coordinate of the ordered pair and plug in the equation:

a) (4, 5)

Plugging x = 4, we get

`y=2\cdot4-4=8-4=4`

This is not the correct option.

b) (-3, -7)

Plugging x = -3, we get

`y=2\cdot(-3)-4=-6-4=-10`

Not correct as well.

In the end, we find that the only correct option is:

e) (0, -4).

Since plugging x = 0 yields:

`y=2\cdot0-4=-4`

As we wanted.

Therefore the final answer is contained in the last option, (0, -4).