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The four points A(-4,0), B(0,-4), X(0,18) and Y(20,k) are grouped on the Cartesian plane. If segment AB is parallel to segment XY what is the value of k?

 Nov 15, 2020
 #1
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Parallel lines ( or their segments) have the same slope

 

So  slope of   AB =  [ -4 - 0 ] / [ 0 - - 4 ] =  -4 / 4 =  -1

 

So ....using the same idea

 

[ k - 18  ] / [  20 - 0 ]  =  -1

 

[ k - 18 ] / 20  = -1     multiply both sides by 20

 

k -18  = -20    add 18 to both sides

 

k = -2

 

 

cool cool cool

 Nov 15, 2020

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