document.write( "Question 147044: The line 3x+2y=16 is the perpendicular bisector of the segment AB Find coordinates of point B given that a) A=(-1,3) (b) A=(0,3) \n" ); document.write( "

Algebra.Com's Answer #107581 by edjones(8007) $\"\"$ $\"About$

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3x+2y=16
\n" ); document.write( "2y=-3x+16
\n" ); document.write( "y=-3x/2 + 8 The slope is -3/2
\n" ); document.write( "The slope of the line it bisects is the negative reciprocal of its slope, 2/3
\n" ); document.write( "If a=(-1,3):
\n" ); document.write( "y-y[1]=m(x-x[1])
\n" ); document.write( "y-3=2/3(x-(-1))
\n" ); document.write( "y-3=2x/3 + 2/3
\n" ); document.write( "y=2x/3 + 11/3
\n" ); document.write( "3x+2(2x/3 + 11/3)=16 substitute for y in the original equation
\n" ); document.write( "3x+4x/3 + 22/3=16
\n" ); document.write( "9x+4x+22=48 multiply each side by 3 to eliminate fractions.
\n" ); document.write( "13x=26
\n" ); document.write( "x=2
\n" ); document.write( "y=5
\n" ); document.write( "(2,5) The intersection of the 2 lines on the graph.
\n" ); document.write( "To go from(-1,3)to (2,5) x is increased by 3 and y by 2
\n" ); document.write( "If we take (2,5) and increase x by 3 and y by 2 we get (5,7) which is B (answer).
\n" ); document.write( ".
\n" ); document.write( "You should be able to do part (b) now.
\n" ); document.write( ".
\n" ); document.write( "Ed
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\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%28-3x%2F2%29%2B8%2C%282x%2F3%29%2B%2811%2F3%29%29\"$ \n" ); document.write( "

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