document.write( "Question 118393: What is the equation of the line passing through the point (6,-3) and perpendicular to the line containing the points (2,-4) and (-5,1) ? \n" ); document.write( "

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What is the equation of the line passing through the point (6,-3) and perpendicular to the line containing the points (2,-4) and (-5,1) ?
\n" ); document.write( "Find the slope of the first line:
\n" ); document.write( "Slope #1: m= $\"%28%28-4-1%29%2F%282%2B5%29%29\"$
\n" ); document.write( "m= $\"%28-5%2F7%29\"$ \r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "Slope #2 is perpendicular to Slope #1: m= $\"%287%2F5%29\"$ [the negative reciprocal of slope #1]
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\n" ); document.write( "Using the points (6, -3) and the slope of Line #2, plug-in to the slope-intercept formula of y=mx+b
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\n" ); document.write( "y=mx+b
\n" ); document.write( "-3=(7/5)(6)+b [solve for the b-value]
\n" ); document.write( "-3=42/5+b
\n" ); document.write( "-3-42/5=b
\n" ); document.write( "-15/5-42/5=b
\n" ); document.write( "-57/5=b
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\n" ); document.write( "Plug-in the slope and b-value of Line #2:
\n" ); document.write( "y=mx+b
\n" ); document.write( "y= $\"%28%285%2F7%29x-57%2F5%29\"$ \r
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