document.write( "Question 1179514: Given the vertices of a triangle are P (3,7), Q(-8,2) and R(-4,-9). Determine the equation of the altitude that passes through the point P. \n" ); document.write( "
Algebra.Com's Answer #809073 by mananth(16946)\"\" \"About 
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Given the vertices of a triangle are P (3,7), Q(-8,2) and R(-4,-9). Determine the equation of the altitude that passes through the point P.\r
\n" ); document.write( "\n" ); document.write( "Slope of QR = m= (y2-y1)/(x2-x1)\r
\n" ); document.write( "\n" ); document.write( "(-9-2)/(-4-(-8)) = -11/4\r
\n" ); document.write( "\n" ); document.write( "The slope of the altitude will be 4/11 ( negative reciprocal because the lines are perpendicular)\r
\n" ); document.write( "\n" ); document.write( "P(3,7) slope = 4/11\r
\n" ); document.write( "\n" ); document.write( "Plug value of the slope and point ( 3 , 7 ) in
\n" ); document.write( "Y = m x + b
\n" ); document.write( "7.00 = 1 + b
\n" ); document.write( "b= 7.00 - 1 1/11
\n" ); document.write( "b= 5 10/11
\n" ); document.write( "So the equation will be
\n" ); document.write( "Y = 4/11 x + 5 (10/11) \r
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