Question

are the two functions parallel perpendicular the same equation or none of these choices ?? y = 6x + 12 and 24x-4y = -48

Answer 1

you must first put the second equation in terms of y

Answer 2

then you could look at the slope of the function
y = mx + b
m = slope
b = y intercept

Answer 3

So when we have systems of equations, you want to graph it out or solve the equations to see the points. So if you have intersecting lines you will have one point of intersection, one solution, different slopes for the lines, and can be the same.
If you have parallel lines they look as such you see there's no point of intersection, so there is no solution. They do however have the same slope, and different y - intercepts. So if you're doing it mathematically, you will get a false statement as 0 = 4.
Coincident lines have infinite points, infinite solutions same slope. same y - int, and have true statements, it looks as such I drew it as such to differentiate the two.