document.write( "Question 387400: the slope-intercept equation for the line that passes through (-8, -11) and is perpendicular to -2x – 7y = -14 \n" ); document.write( "
Algebra.Com's Answer #273925 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! the slope-intercept equation for the line that passes through (-8, -11) and is perpendicular to -2x – 7y = -14 \n" ); document.write( ". \n" ); document.write( "Determine slope of: \n" ); document.write( "-2x – 7y = -14 \n" ); document.write( "–7y = 2x-14 \n" ); document.write( "y = (-2/7)x + 2 \n" ); document.write( "slope is -2/7 \n" ); document.write( ". \n" ); document.write( "A line perpendicular to above must have a slope that is a \"negative reciprocal\": \n" ); document.write( "(-2/7)m = -1 \n" ); document.write( "m = 7/2 \n" ); document.write( ". \n" ); document.write( "plug given point and slope into \"point-slope\" form: \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "y - (-11) = (7/2)(x - (-8)) \n" ); document.write( "y + 11 = (7/2)(x + 8) \n" ); document.write( "y + 11 = (7/2)x + 28 \n" ); document.write( "y = (7/2)x + 17 (this is what they're looking for)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |