document.write( "Question 987121: Find the possible coordinates for A and B using the given slope of AB= -5/3 and Midpoint = (6,7) \n" ); document.write( "

Algebra.Com's Answer #607908 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The midpoint is the average of x and y values of the endpoints.
\n" ); document.write( " $\"x%5Bm%5D=%28x%5BA%5D%2Bx%5BB%5D%29%2F2=6\"$
\n" ); document.write( " $\"x%5BA%5D%2Bx%5BB%5D=12\"$
\n" ); document.write( " $\"x%5BA%5D=12-x%5BB%5D\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y%5Bm%5D=%28y%5BA%5D%2By%5BB%5D%29%2F2=7\"$
\n" ); document.write( " $\"y%5BA%5D%2By%5BB%5D=14\"$
\n" ); document.write( " $\"y%5BA%5D=14-y%5BB%5D\"$
\n" ); document.write( "From the slope,
\n" ); document.write( " $\"y%5BB%5D-y%5BA%5D=-%285%2F3%29%28x%5BB%5D-x%5BA%5D%29\"$
\n" ); document.write( " $\"3y%5BB%5D-3y%5BA%5D=-5x%5BB%5D%2B5x%5BA%5D\"$
\n" ); document.write( " $\"3y%5BB%5D-3%2814-y%5BB%5D%29=-5x%5BB%5D%2B5%2812-x%5BB%5D%29\"$
\n" ); document.write( " $\"3y%5BB%5D-42%2B3y%5BB%5D=-5x%5BB%5D%2B60-5x%5BB%5D\"$
\n" ); document.write( " $\"6y%5BB%5D-42=-10x%5BB%5D%2B60\"$
\n" ); document.write( " $\"6y%5BB%5D=-10x%5BB%5D%2B102\"$
\n" ); document.write( " $\"y%5BB%5D=-%285%2F3%29x%5BB%5D%2B17\"$
\n" ); document.write( "So now you have a relationship between $\"x%5BA%5D\"$ , $\"y%5BA%5D\"$ , $\"x%5BB%5D\"$ , and $\"y%5BB%5D\"$ .
\n" ); document.write( "You're free to choose $\"x%5BB%5D\"$ .
\n" ); document.write( "So when $\"x%5BB%5D=0\"$
\n" ); document.write( " $\"y%5BB%5D=-%285%2F3%290%2B17=17\"$
\n" ); document.write( " $\"x%5BA%5D=12-0=12\"$
\n" ); document.write( " $\"y%5BA%5D=14-17=-3\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "(0,17) and (12,-3) are one set of A-B points.
\n" ); document.write( " \n" ); document.write( "

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