+0

# Ant 101

+2
123
3
+230

A line segment has one endpoint at (3,9) and midpoint at (1,2) . What is the sum of the coordinates of the other endpoint?

ant101  Mar 23, 2017
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#1
+75344
+1

We have

( 3 + x) / 2  =  1          and              (9 + y ) / 2  =  2

Multiply both side by 2

3 + x   = 2                   and               9 + y   =  4

subtract 3 from both sides              subtract 9 from both sides

x  = -1                                              y  =  -5

This is the other endpoint

And the sum of its coordinates  =  -6

CPhill  Mar 23, 2017
#2
+230
+1

Thanks so much! Your're so smart!

ant101  Mar 23, 2017
#3
+2
+1

The answer would be -6, you're right

algebrarocks  Mar 23, 2017
edited by algebrarocks  Mar 23, 2017

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