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)\"\" \"About 
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 = \"-5%2F3\"x + \"4%2Fx\"
\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 = \"2k%2F5\"x - 2
\n" ); document.write( ":
\n" ); document.write( "The slope relationship of perpendicular lines: m1 * m2 = -1, therefore:
\n" ); document.write( "\"-5%2F3\" * \"2k%2F5\" = -1
\n" ); document.write( "\"%28-10k%29%2F15\" = -1
\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 = \"%282%2A1.5%29%2F5\"x - 2
\n" ); document.write( "y = \"3%2F5\"x - 2
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "See if the relationship between the two slopes is -1
\n" ); document.write( "\"-5%2F3\" * \"3%2F5\" = -1
\n" ); document.write( "
\n" );