document.write( "Question 98939This question is from textbook Intermediate Algebra
\n" ); document.write( ": Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y = 12 and passing through (9, -5). \n" ); document.write( "
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x + 3y = 12
\n" ); document.write( "Slope of Line #1 = -1/3
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\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals:
\n" ); document.write( "Slope of Line #2 = 3
\n" ); document.write( "So,
\n" ); document.write( "y=mx+b (plug-in the values and solve for the b-term]
\n" ); document.write( "-5=(3)(9)+b
\n" ); document.write( "-5=27+b
\n" ); document.write( "-5-27=b
\n" ); document.write( "-32 = b
\n" ); document.write( "y=3x-32
\n" ); document.write( ".
\n" ); document.write( "Re-write in standard form:
\n" ); document.write( "-3x+y=-32
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