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An 80-mile trip is represented on a gridded map by a directed line segment from point M(3,2) to point N(9,13). What point represents 60 miles into the trip?

 Feb 12, 2020
 #1
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The desired point is  ( 60/80) = 6/8 = 3/4 the  distance between  M  and N

 

To  find this point, we have

 

[ 3  + (3/4)(9 - 3) ,  2 + (3/4) ( 13 - 2)  ]  =

 

[ 3 + (3/4)(6)  , 2 + (3/4)(11)  ] =

 

[ 3 + 18/4  , 2 + 33/4 ] = 

 

[ 12/4 + 18/4 , 8/4 + 33/4  ] =

 

[30/4 , 41/4 ] =

 

( 15/2, 41/4)

 

cool cool cool

 Feb 12, 2020

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