document.write( "Question 119072: Write an equation of a line that contains the given point and is perpendicular to the given line.\r
\n" ); document.write( "\n" ); document.write( "2x+4y=-7; points(-3, -2)
\n" ); document.write( "

Algebra.Com's Answer #87228 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The given line
\n" ); document.write( "\"2x%2B4y=-7\"
\n" ); document.write( "can be modified to the slope-intercept form.
\n" ); document.write( "\"4y=-2x-7\"
\n" ); document.write( "\"y=-2x%2F4-7%2F4\"
\n" ); document.write( "\"y=-x%2F2-7%2F4\"
\n" ); document.write( "The given line has a slope,
\n" ); document.write( "\"m=-1%2F2\"
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals of each other.
\n" ); document.write( "\"m%5B1%5Dm%5B2%5D=-1\"
\n" ); document.write( "The slope of the new line is then
\n" ); document.write( "\"%28-1%2F2%29m%5B2%5D=-1\"
\n" ); document.write( "\"m%5B2%5D=2\"
\n" ); document.write( "You can then use the point-slope form of a line.
\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"
\n" ); document.write( "\"y-%28-2%29=2%28x-%28-3%29%29\"
\n" ); document.write( "\"y%2B2=2%28x%2B3%29\"
\n" ); document.write( "\"y%2B2=2x%2B6\"
\n" ); document.write( "\"highlight%28y=2x%2B4%29\"
\n" ); document.write( "Check your answer using your point.
\n" ); document.write( "\"y=2x%2B4\"
\n" ); document.write( "\"-2=2%28-3%29%2B4\"
\n" ); document.write( "\"-2=-6%2B4\"
\n" ); document.write( "\"-2=-2\"
\n" ); document.write( "True statement.
\n" ); document.write( "Good answer.
\n" ); document.write( "
\n" );