document.write( "Question 468148: the equation of the line passing through (-1,2) and perpendicular to y=3x=4 \n" ); document.write( "
Algebra.Com's Answer #321212 by Gogonati(855)\"\" \"About 
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As we know two lines are perpendicular if and only if their slopes are negative \r
\n" ); document.write( "\n" ); document.write( "reciprocals of one another \"m%5B1%5D=-1%2Fm%5B2%5D\" or \"m%5B1%5D%2Am%5B2%5D=-1\"\r
\n" ); document.write( "\n" ); document.write( "Since the equation of one line is y=3x-4, its slope is \"m%5B1%5D=3\"\r
\n" ); document.write( "\n" ); document.write( "The slope of the perpendicular line will be \"3%2Am%5B2%5D=-1\"<=> \"m%5B2%5D=-1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "Now we write the equation of the line that passes through (-1, 2), and has the \r
\n" ); document.write( "\n" ); document.write( "slope \"m%5B2%5D=-1%2F3\": y-2=-1/3(x+1), converting it in the standard form we get:\r
\n" ); document.write( "\n" ); document.write( "3y-6=-x-1 <=> x+3y=5 or in slope-intercept form \"y=-%281%2F3%29x%2B5%2F3\".
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