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
[tex]\begin{gathered} 5-5=6(x-7) \\ \text{which gives} \\ 0=0 \end{gathered}[/tex]
then, the point (7,5) belong to the line.
Case B).
By substituting point (5,7), we get
[tex]\begin{gathered} 7-5=6(5-7) \\ \text{which gives} \\ 2=6(-2) \\ 2=-12\text{ } \end{gathered}[/tex]
which is an absurd result. Then, point (5,7) does not belongs to the line
Case C)
By substituting point (-7,-5), we obtain
[tex]\begin{gathered} -5-5=6(-7-7) \\ or \\ -10=6(-14) \\ -10=-84 \end{gathered}[/tex]
again, this is an absurd result, so this point does not belongs to the line.
Case D).
By replacing point (-5,-7), we have
[tex]\begin{gathered} -7-5=6(-5-7) \\ -12=6(-12) \\ -12=-72 \end{gathered}[/tex]
then, this point does not belongs to the line.
Therefore, the answer is option A.
