document.write( "Question 350623: Find all values of A so that the line whose equation is Ax+Ay-2=(2-A)y is perpendicular to the line containig the points (1,-3) and (2,-3). \n" ); document.write( "
Algebra.Com's Answer #250638 by Fombitz(32388)\"\" \"About 
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First find the slope of the line containing the points (\"1\",\"-3\") and (\"2\",\"-3\").
\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-3-%28-3%29%29%2F%282-1%29\"
\n" ); document.write( "\"m=0\"
\n" ); document.write( "The line containing those two points is horizontal.
\n" ); document.write( "The line perpendicular to a horizontal line is vertical and has the form,
\n" ); document.write( "\"x=a\"
\n" ); document.write( "so then,
\n" ); document.write( "\"Ay=%282-A%29y\"
\n" ); document.write( "\"A=2-A\"
\n" ); document.write( "\"2A=2\"
\n" ); document.write( "\"A=1\"
\n" ); document.write( "Then,
\n" ); document.write( "\"Ax%2BAy-2=%282-A%29y\"
\n" ); document.write( "\"x%2By-2=y\"
\n" ); document.write( "\"highlight%28x=2%29\"
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