document.write( "Question 281033: find the equation of the line through (4,3) perpendicular to the line 3x+y=7 \n" ); document.write( "
Algebra.Com's Answer #204209 by JBarnum(2146)\"\" \"About 
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(4,3) perpendicular to the line 3x+y=7
\n" ); document.write( "when finding the perpendicular line u need to use the opposite reciprical of its slope.
\n" ); document.write( "\"3x%2By=7\" put it in slope intercept form y=mx+b
\n" ); document.write( "\"y=7-3x\"
\n" ); document.write( "\"y=-3x%2B7\"
\n" ); document.write( "so \"-3\" is the slope of the perpendicular line so the opposite reciprical is \"1%2F3\"
\n" ); document.write( "now we have 3 known variables out of 4
\n" ); document.write( "\"y=mx%2Bb\" use the slope and the point to find the intercept
\n" ); document.write( "\"3=%281%2F3%294%2Bb\"
\n" ); document.write( "\"3=%284%2F3%29%2Bb\"
\n" ); document.write( "\"3-%284%2F3%29=%284%2F3%29-%284%2F3%29%2Bb\"
\n" ); document.write( "\"%289%2F3%29-%284%2F3%29=b\"
\n" ); document.write( "\"5%2F3=b\"
\n" ); document.write( "now re write the slope intercept form with the slope and intercept of the line
\n" ); document.write( "\"y=%281%2F3%29x%2B%285%2F3%29\" theres your line
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