document.write( "Question 1174280: Two points A(-5,1) and B(c,d) are given. If P(-3,2) divides AB into two parts in the ratio 2:1, find the value of c and d.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #799694 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "On the segment AB, and on both the horizontal (x) and vertical (y) components of that segment, P divides AB in the ratio 2:1. In other words, from P to B is half as far as from A to P.

\n" ); document.write( "x coordinate of B...
\n" ); document.write( "From A to P is from -5 to -3, a change of +2, so the change from P to B is +1; c = -3+1 = -2.

\n" ); document.write( "y coordinate of B...
\n" ); document.write( "From A to P is from 1 to 2, a change of +1, so the change from P to B is +1/2 or 0.5; d = 2+0.5 = 2.5.

\n" ); document.write( "ANSWER: (c,d) = (-2,2.5)

\n" ); document.write( "
\n" ); document.write( "
\n" );