document.write( "Question 782057: An equation of the line passing through (3,4) and perpendicular to y=7x+8 is \n" ); document.write( "
Algebra.Com's Answer #476251 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Slope-intercept form is y = mx + b \n" ); document.write( "m is the slope \n" ); document.write( "b is the y-intercept\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In the line y = 7x + 8 \n" ); document.write( "slope = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perpendicular lines have slopes which are negative reciprocals.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perpendicular slope is -1/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On the new line, \n" ); document.write( "slope = -1/7 and the given point is (3,4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - y1 = m(x - x1) {point-slope form} \n" ); document.write( "y - 4 = (-1/7)(x - 3) {substituted into point-slope form} \n" ); document.write( "y - 4 = (-1/7)x + 3/7 {used distributive property} \n" ); document.write( "y = (-1/7)x + 31/7 {added 4 to each side} \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |