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

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

anonymous · Answer

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

precal · Answer

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

precal · Answer

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

anonymous · Answer

I got it, it's parallel, thanks

precal · Answer

if neither of those are true then it is neither

anonymous · Answer

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precal · Answer

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