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Mathematics 15 Online
OpenStudy (anonymous):

y=3x+6 and 3y=x+2 determine whether the lines are parallel, perpend or neither

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

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

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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