Question

determine whether the graphs of the equations are parallel, perpendicular, or neither.

12x + 4y = 16
6x + 2y = 11

Please explain how you got the answer for me, I want to understand how to answer this

Answer 1

Case 1: 1 solution
--Lines intersect
--System is consistent
--Equations are independent

Case 2: No solution
--Lines are parallel
--same slope
--system is inconsistent

Case 3: Infinite solutions
--Lines coincide/same line
--system is consistent
--equations are dependent

Answer 2

look at your slopes, if they are the same then the lines are parallel

Answer 3

if they are opposite reciprocals m=1/3 m=-3 for example then they are perpendicular

Answer 4

I got it, it's parallel, thanks

Answer 5

if neither of those are true then it is neither