document.write( "Question 359089: find an equation for the line that satisfies the given condition. \r
\n" ); document.write( "\n" ); document.write( "(3,-2) purpendicular to the line x+4y+8=0\r
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Algebra.Com's Answer #256264 by Fombitz(32388)\"\" \"About 
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\"x%2B4y%2B8=0+\"
\n" ); document.write( "Convert to slope-intercept form, \"y=mx%2Bb\"
\n" ); document.write( "\"4y=-x-8\"
\n" ); document.write( "\"y=-%281%2F4%29x-2\"
\n" ); document.write( "Slope:\"m=-1%2F4\"
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( "\"m%5B1%5D%2Am%5B2%5D=-1\"
\n" ); document.write( "\"-%281%2F4%29%2Am%5B2%5D=-1\"
\n" ); document.write( "\"m%5B2%5D=4\"
\n" ); document.write( "Use the slope-intercept form,
\n" ); document.write( "\"y=4x%2Bb\"
\n" ); document.write( "Use the point to solve for \"b\".
\n" ); document.write( "\"-2=4%283%29%2Bb\"
\n" ); document.write( "\"b=-2-12\"
\n" ); document.write( "\"b=-14\"
\n" ); document.write( "Complete the calculation to get \"b\", then put it all together, to get the equation of the perpendicular line.
\n" ); document.write( "\"y=4x-14\"
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