1.
The slope intercept form is y=mx+b
4x-3y=2
subtract 4x from both sides
3y=2+(-4x)
Divide by 3
y=2/3+(-4x/3)
simplify:
y=2/3-4x/3
reorder:
y=-4/3x+2/3
slope= -4/3, y intercept= 2/3
2.
In the same way,
3x+2y=-3
2y=-3-3x
y=-3/2 - 3x/2
y+3/2=-3x/2
y=-3x/2-3/2
y=-3/2x-3/2
slope=-3/2, y intercept= -3/2
I hope this helped you.