Hello!
Since (1, -2) is the point of intersection, then it is the solution to the system of equations. Let's test our answer to see if it's correct:
[tex]-2 = -4(1) + 2
-2 = -4 + 2
-2 = -2[/tex]
But that's only for the first one, let's test for the second one:
[tex]-2 = 1 - 3
-2 = -2[/tex]
This is how we know that (1, -2) is the solution to the system of equations. Hope I helped! :3