document.write( "Question 39145: Please help me determine an equation of the line through (-3,4) and perpendicular to the line with the equation 4x-2y=1. I came up with y=-2x+7.
\n" ); document.write( "Am I even close? \n" ); document.write( "
Algebra.Com's Answer #24574 by stanbon(75887)\"\" \"About 
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determine an equation of the line through (-3,4) and perpendicular to the line with the equation 4x-2y=1.\r
\n" ); document.write( "\n" ); document.write( "Determine the slope of the line you want.
\n" ); document.write( "4x-2y=1
\n" ); document.write( "2y=4x-1
\n" ); document.write( "y=2x-(1/2)
\n" ); document.write( "The slope of the given line is m=2
\n" ); document.write( "Therefore the slope of the line perpendicular
\n" ); document.write( "to it is m=-1/2\r
\n" ); document.write( "\n" ); document.write( "The form of the line you want is y=mx+b
\n" ); document.write( "You have x=-3, y=4, and m=-1/2
\n" ); document.write( "So, 4=(-1/2)(-3)+b
\n" ); document.write( "b=4-3/2= 5/2
\n" ); document.write( "The equation of your line is y=(-1/2)x+5/2
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan h.
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