document.write( "Question 536145: Write an equation of a line that is perpendicular to y = 2x + 3 and
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document.write( " passes through (3,4). \n" );
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Algebra.Com's Answer #352170 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write an equation of a line that is perpendicular to y = 2x + 3 and \n" ); document.write( "passes through (3,4). \n" ); document.write( "** \n" ); document.write( "Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "given: y = 2x + 3 \n" ); document.write( "slope of this line=2 \n" ); document.write( "slope of line perpendicular to given line=-1/2 (negative reciprocal) \n" ); document.write( "equation: y=-x/2+b \n" ); document.write( "solving for b using coordinates of given point (3,4) \n" ); document.write( "4=-3/2+b \n" ); document.write( "b=4+3/2=11/2 \n" ); document.write( "Equation of perpendicular line: \n" ); document.write( "y=-x/2+11/2 \n" ); document.write( " |