document.write( "Question 911953: The lines with equations 5x+3y=4 and 2kx-5y=10 are perpendicular. what is the value of k? \n" ); document.write( "
Algebra.Com's Answer #553481 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The lines with equations 5x+3y=4 and 2kx-5y=10 are perpendicular \n" ); document.write( "what is the value of k? \n" ); document.write( ": \n" ); document.write( "Put both equations in the slope intercept form \n" ); document.write( "5x + 3y = 4 \n" ); document.write( "3y = -5x + 4 \n" ); document.write( "y = \n" ); document.write( ": \n" ); document.write( "2kx - 5y = 10 \n" ); document.write( "-5y = -2ks + 2 \n" ); document.write( "Divide both sides by -5 \n" ); document.write( "y = \n" ); document.write( ": \n" ); document.write( "The slope relationship of perpendicular lines: m1 * m2 = -1, therefore: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "multiply both sides by 15 \n" ); document.write( "-10k = -15 \n" ); document.write( "k = -15/-10 \n" ); document.write( "k = +1.5 \n" ); document.write( "Therefore the 2nd equation: \n" ); document.write( "y = \n" ); document.write( "y = \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "See if the relationship between the two slopes is -1 \n" ); document.write( " |