SOLUTION: Determine the value of k so that the lines kx-y=-1/3 and 3y=1-6x will not intersect?

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Question 891942: Determine the value of k so that the lines kx-y=-1/3 and 3y=1-6x will not intersect?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
I had something here but it was wrong.

The two equations in slope intercept form:
system%28y=kx-1%2F3%2Cy=-2x%2B1%2F3%29

For the two lines to NOT intersect, the slopes must be equal, and the lines will be parallel. This means, k=-2.