document.write( "Question 514992: Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7 \n" ); document.write( "
Algebra.Com's Answer #343887 by lwsshak3(11628)\"\" \"About 
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Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7
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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( "for given equation: 3x+2y=7
\n" ); document.write( "2y=-3x+7
\n" ); document.write( "y=-3x/2+7/2
\n" ); document.write( "slope=-3/2
\n" ); document.write( "slope of line perpendicular to given line=2/3 (negative reciprocal of -3/2)
\n" ); document.write( "Equation of perpendicular line: y=2x/3+b
\n" ); document.write( "solving for b using given point on the line (0,6)
\n" ); document.write( "3y=2x+3b
\n" ); document.write( "3*6=2*0+3b
\n" ); document.write( "18=3b
\n" ); document.write( "b=6
\n" ); document.write( "Equation of perpendicular line:
\n" ); document.write( "y=2x/3+6 \n" ); document.write( "
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