Answer
Yes, it is a solution to the inequality.
Work Step by Step
We will put x=-6 and y=1 in the given inequality because those are the given coordinates.
3y$\gt$5x-12
3(1)$\gt$5(-6)-12
3$\gt$-30-12
3$\gt$-42
It is a solution because 3 is greater than -42.So (-6,1) are solutions to the inequality.