If point A coordinates are (-5, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Choose the correct choice from the following options.
A) (-2, - 2/3)
B) (2, -2/3)
C) (2/3, -2)
D) (0, 2)
E) (2, 2/3)
Look at the diagram below:   Line segment.pngSince, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-5+8)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be E.   Answer: (2, 2/3).
<result>E</result>
If point A coordinates are (-5, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.