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a line k passes through the points (4,2) and (-4,4). a second line h passes through the points (-8,1) and (8,-3). is ine k parallel to line h? why or why not?

lizzie028

by lizzie028 at August 30, 2011

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Lizzie - If the slopes (the "m' in the equations y=mx+b) are equal, then the lines will always be parallel.

Steve204 Steve204 August 30, 2011

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to add to that, you just need to evaluate the slopes (m). In order to find the slope, you need to know that m=rise/run, or y/x. You can find the difference in y and the difference in x by looking at the coordinates the lines pass through. For example, line k has a difference in y of 2 (as 4-2=2), and a difference in x of 8 (as 4- (-4))=4+4=8). therefore, the slope would be 2/8, or 1/4, for line k. If line h has the same slope, they are parallel. Hope this helps!

Raven379 Raven379 August 30, 2011

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amruthgoud amruthgoud August 30, 2011

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given that k passes thru the point (4,2)and(-4,4) from which slope of the given line is 4-2dividedby-4-4=-1dividedby 4. another line is h pas-1dividedby4ses thru (-8,1)and(8,-3)from this as like as above slope is -1dividedby 4.from the basic concepts of defining two parallel lines is the lines having their inclination same with respective to the x axis is called as a set of parrallel lines that is slope is equal so the given lines are parallel.

amruthgoud amruthgoud August 30, 2011

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amruthgoud amruthgoud August 30, 2011

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