SOLUTION: Are the lines parallel? f(x)=3x+2, f(x)=1/3x+4

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Question 176019: Are the lines parallel?
f(x)=3x+2, f(x)=1/3x+4
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
these are set up in slope intercept form and so we see that the slope of
:
f(x)=(3)x+2 is 3
:
f(x)=(1/3)x+4 is 1/3.
:
in order for lines to be parallel they have to have equal slopes therefore
these 2 lines are NOT parallel.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how the first equation f%28x%29=3x%2B2 has a slope of m=3 (it's the number in front of the "x"). Also, the slope of f%28x%29=%281%2F3%29x%2B4 is m=1%2F3. Since these two slopes are NOT equal, this means that the two lines are NOT parallel. Remember, parallel lines have equal slopes.