I think you just plug in each point into the equation to see if they are the same number on both sides of the = sign.
(-2,3) ----> This is a solution to the equation
2(3) = -5(-2) - 4
6 = 10 - 4
6 = 6
(1,-4)
2(-4) = -5(1) - 4
-8 = -9
(0,2)
2(2)= -5(0) - 4
4 = -4
(-1,1)
2(1) = -5(-1) - 4
2 = 5 - 4
2 = 1