If point A coordinates are (-7, -3) point B coordinates are (7 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.  Choose the most appropriate option: 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 (-7+7)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be D.   Answer: (0, 2).
<result>D</result>
If point A coordinates are (-7, -3) point B coordinates are (7 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.