SOLUTION: Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither.

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Question 751568: Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither.
Found 3 solutions by lynnlo, josmiceli, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
perpendicular

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Put them both into the standard form
which looks like:
+ax+%2B+by+=+c+
---------------
+y+-+4+=+3x+
Subtract +y+ from both sides
+-4+=+3x+-+y+
Write it the other way around
+3x+-+y+=+-4+
---------------
+2y-6x=8+
Just write it this way:
+-6x+%2B+2y+=+8+
Now divide both sides by +2+
+-3x+%2B+y+=+4+
Multiply both sides by +-1+
+3x+-+y+=+-4+
---------------
They are both the same equation, so neither is the
correct choice

Answer by ikleyn(53422) About Me  (Show Source):
You can put this solution on YOUR website!
.
Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither.
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        The response in the post by @lynnlo is incorrect.
        I came to bring a correct solution. 


Write equations for both lines in the form y = ax + b.


For the first line, this equation is  y = 3x + 4.


For the second line, this equation is y = 3x + 4.


Now you see that the equations for both lines are identical, so, the lines coincide.


They are neither parallel nor perpendicular.    <<<---===  ANSWER

Solved and explained.