Respuesta :

Explanation

An ordered pair is a solution of a line if it "satisfies" the equation of the line. What does "satisfy" mean? It means that evaluating the pair for the point doesn't give a contradiction, but a true equality.

Now, let's test the first ordered pair:

[tex]\begin{gathered} 2-2(2)=6, \\ 2-4=6, \\ -2=6, \end{gathered}[/tex]

Note that after evaluating the equation of our line for (2,2) we got a contradiction: -2 is not equal to 6. This means that (2,2) is not a solution to our line.

Let's test (0,-3):

[tex]\begin{gathered} -3-2(0)=6, \\ -3+0=6, \\ -3=6. \end{gathered}[/tex]

Again we got a contradiction. (0,-3) is not a solution to our line.

Let's test (-3,0):

[tex]\begin{gathered} 0-2(-3)=6, \\ 0+2(3)=6,\leftarrow\text{ "minus sign by minus sign = plus sign"} \\ 6=6. \end{gathered}[/tex]

We got something true (6 is equal to itself).

Answer

The ordered pair from the options that is a solution of our line is

[tex](-3,0)\text{.}[/tex]

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