Can someone help me find the line of symmetry and vertex points?

-6x+5>-1

Subtract 5 from both sides.
Remember, a negative minus a negative is still negative.

-6x>-6

Divide both sides by -6.
Remember a negative divided by a negative is a positive, but when you divide by a negative, the sign will switch from x>1 to x<1

x<1
This is your answer. The 3rd in the list of answers.

Hope this helped!! :)