document.write( "Question 41890: Find the equation of the line containing the point (-1,3) and perpendicular to hte line 2x+4y=-1 \n" ); document.write( "
Algebra.Com's Answer #27054 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! We need a line perpendicular to \n" ); document.write( "2x + 4y = -1 \n" ); document.write( "Let us find the slope of this line first... \n" ); document.write( "4y = -2x - 1 \n" ); document.write( "y = (-1/2)x - 1/4 \n" ); document.write( "The slope here is -1/2. \n" ); document.write( "The slope of the perpendicular to it is the negative reciprocal, or +2. \n" ); document.write( "Now use the point-slope form \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "y - 3 = 2(x + 1) \n" ); document.write( "y - 3 = 2x + 2 \n" ); document.write( "y = 2x + 5 \n" ); document.write( " |