Quick Homework Help

# 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? ⚑ Flag

by lizzie028 at August 30, 2011

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

Steve204 August 30, 2011

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 August 30, 2011

amruthgoud August 30, 2011

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 August 30, 2011

amruthgoud August 30, 2011