In order for us to know whether the equations are consistent, independent, coincident and inconsistent according to their slope.
1. 4x+y=8 ---> y = -4x + 8 ---> m = -4
x+3y=8 ---> y = -1/3x + 8/3 ---> m = -1/4
Independent
2. -4x+6y=-2 ---> y = 3/2x - 1/3 ---> m = 3/2
2x-3y=1 ---> y = 3/2x - 1/2 ---> m = 3/2
Inconsistent
3. 5x-2y=4 ---> y = 5/2x - 2 ---> m = 5/2
5x-2y=6 ---> y = 5/2x - 3 ---> m = 5/2
Inconsistent
4. y=3x-4 ---> y = 3x - 4 ---> m = 3
-3x+y=-2 ---> y = 3x - 2 ---> m =3
Inconsistent
