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The slope of any parallel lines is always the same. Parallel means they are co-planar which means lie in the same plane, and never intersect. In order for the lines to not intersect you would need the same slope. In this case the answer is -2/3.

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Q: What would the slope be of a line parallel to one with a slope of negative two over three?
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Related questions

If the slope of a line is two over three what is the slope of a line that is parallel to this line?

The slope is rise over run. If another line was parallel, the slope would be the same.


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What if the slope is negative already what would be the reciprocal?

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