document.write( "Question 124578: Hi can I have some help finding an equation of the line through (9, 6) and perpendicular to the line passing through (10, 4) and (-9, 0)? \n" ); document.write( "
Algebra.Com's Answer #91313 by checkley71(8403)\"\" \"About 
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THE LINE PASSING THROUGH (10,4) & (-9,0) IS:
\n" ); document.write( "SLOPE=(0-4)/(-9-10)=-4/-19 OR 4/19
\n" ); document.write( "0=4/19*-9+b
\n" ); document.write( "0=-36/19+b
\n" ); document.write( "b=36/19 THUS THIS LINE EQUATION IS:
\n" ); document.write( "Y=4X/19+36/19 (red line)
\n" ); document.write( "A LINE PERPENDICULAR TO THIS LINE HAS A SLOPE=-19/4 (THE NEGATIVE RECIPRICAL OF 4/19)
\n" ); document.write( "THUS A LINE PASSING THROUGH (9,6) WITH A SLOP=-19/4 IS:
\n" ); document.write( "6=-19/4*9+b
\n" ); document.write( "6=-171/4+b
\n" ); document.write( "b=6+171/4
\n" ); document.write( "b=(24+171)/4
\n" ); document.write( "b=195/4 OR THE EQUATION IS:
\n" ); document.write( "Y=-19X/4+195/4 (green line)
\n" ); document.write( " (graph 300x300 pixels, x from -6 to 20, y from -10 to 20, of TWO functions y = 4x/19 +36/19 and y = -19x/4 +195/4). \n" ); document.write( "
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