Okay so now that we know that the equation is y=5x-6, we can solve... Oh, and the first pair of points should be (-1, -11), just saying.
So, we have our equation. What we do is plug stuff in and see if it's right. So, with the first one:
$$y=5x-6, y=-11, x=-1$$
Now let's plug stuff in:
$$-11 = 5(-1)-6\Rightarrow-11=-5-6\Rightarrow-11=-11$$
So, that's true. Let's check the next two:
$$4=5(2)-6\Rightarrow4=10-6\Rightarrow4=4$$
That's right too. Now let's check the last one:
$$-1=5(0)-6\Rightarrow-1=0-6\Rightarrow-1=-6$$
Well, that's not right, obviously! So, that point is NOT on the line y=5x-6.