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A segment with endpoints at A(2,-2) and B(-14,4) is extended through B to point C. If BC = 3*AB, what are the coordinates for point C? Express your answer as an ordered pair.

 Jan 29, 2021
 #1
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C (-62, 22)

 Jan 29, 2021
 #2
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A is the start of the segment, then B then C

 

FROM A (2,-2)

Consider A to B    

x displacement  is  -14-2= -16        y displacement  is   4 - - 2 = 6

A to C is 4 times as far so

x displacement  is   -16*4=-64        y displacement  is    6*4= 24

 

But you are starting at A so the point C will be

 

C(2 + - 64, -2 +24)  =    C(-62, 22)

 Jan 29, 2021

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