document.write( "Question 491676: Find the value of k for which the graph of 6x-ky= 2 is perpendicular to 2x+3y= 7 \n" ); document.write( "
Algebra.Com's Answer #334728 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 2x + 3y = 7 \n" ); document.write( "3y = -2x +7 \n" ); document.write( "y = -2/3*x +7/3 \n" ); document.write( ". \n" ); document.write( "So the slope of the perpendicular line is the inverse reciprocal: 3/2. \n" ); document.write( ". \n" ); document.write( "6x -ky = 7 \n" ); document.write( "-ky = -6x +7 \n" ); document.write( "The value of k must be picked to make the slope = 3/2. \n" ); document.write( "So k=4 results in \n" ); document.write( "y = 3/2x + 7/4 \n" ); document.write( ". \n" ); document.write( "Graph \n" ); document.write( " |