Equation
5x + 12y = 15
First point
5(5) + 12(-5/6) = 15
25 - 10 = 15
15 = 15 The first point is a solution
Second point
5(-3) + 12(5/2) = 15
-15 + 30 = 15
15 = 15 The second point is a solution
Third point
5(-6) + 12(15/4) = 15
-30 + 45 = 15
15 = 15 The third point is a solution
Forth point
5(-5) + 12(10/3) = 15
-25 + 40 = 15
15 = 15 The forth point is a solution
So, the result the first, second, third and forth are correct