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OpenStudy (anonymous):
y=3x+6 and 3y=x+2 determine whether the lines are parallel, perpend or neither
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OpenStudy (anonymous):
see if you can find the slope of both lines; comparing the slopes will answer your question.
OpenStudy (anonymous):
-2 is what I came up with for the slope would the perp slope be 1/2
OpenStudy (anonymous):
The point-slope equation of a line is given by \[y=mx+b\] where m is the slope. One of your equations is already in this form.
OpenStudy (anonymous):
Oops that's slope-intercept, not point-slope :)
OpenStudy (anonymous):
slope on y=3x+6 slope is 3 and slope of other one is 1/3
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OpenStudy (anonymous):
Right; parallel lines have the same slope, right?|dw:1385352010587:dw|
OpenStudy (anonymous):
But perpendicular lines have slopes that are negative reciprocals of one another|dw:1385352131794:dw|
OpenStudy (anonymous):
correct so they are parallel
OpenStudy (anonymous):
\[3\neq \frac{1}{3}\]
OpenStudy (anonymous):
parallel lines have equal slopes
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OpenStudy (anonymous):
oh ok so they are neither because the do not have equal slopes and are not negative reciprocals
OpenStudy (anonymous):
:D
OpenStudy (anonymous):
thanks!
OpenStudy (anonymous):
My pleasure
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