document.write( "Question 536145: Write an equation of a line that is perpendicular to y = 2x + 3 and
\n" ); document.write( " passes through (3,4).
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Write an equation of a line that is perpendicular to y = 2x + 3 and
\n" ); document.write( "passes through (3,4).
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\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
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