Question

How do you do, you come up with the answer

Answer 1

We need to substitute each point in the given equation and see if they fulfill the equality.

Case A)

By substituting point (7,5), we have

`\begin{gathered} 5-5=6(x-7) \\ \text{which gives} \\ 0=0 \end{gathered}`

then, the point (7,5) belong to the line.

Case B).

By substituting point (5,7), we get

`\begin{gathered} 7-5=6(5-7) \\ \text{which gives} \\ 2=6(-2) \\ 2=-12\text{ } \end{gathered}`

which is an absurd result. Then, point (5,7) does not belongs to the line

Case C)

By substituting point (-7,-5), we obtain

`\begin{gathered} -5-5=6(-7-7) \\ or \\ -10=6(-14) \\ -10=-84 \end{gathered}`

again, this is an absurd result, so this point does not belongs to the line.

Case D).

By replacing point (-5,-7), we have

`\begin{gathered} -7-5=6(-5-7) \\ -12=6(-12) \\ -12=-72 \end{gathered}`

then, this point does not belongs to the line.

Therefore, the answer is option A.