document.write( "Question 881620: The equation of a line perpendicular to a line that has a slope of -2 and goes through (0,-6) \n" ); document.write( "
Algebra.Com's Answer #532343 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Perpendicular lines have slopes which are negative reciprocals. \n" ); document.write( "If the slope of the given line is -2, \n" ); document.write( "then the slope of the new line would be 1/2 {the negative reciprocal of -2}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "slope = 1/2 , (0,-6) {slope and point of new line}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - y1 = m(x - x1) {point-slope form} \n" ); document.write( "y - (-6) = (1/2)(x - 0) {substituted into point-slope form} \n" ); document.write( "y + 6 = (1/2)x {simplified} \n" ); document.write( "y = (1/2)x - 6 {subtracted 6 from each side to get into slope-intercept form} \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |