document.write( "Question 840509: IF the slopes of the lines 2y-6bx = 7 & 5y+30x+13 = 0 are equal, find the value of b?. \n" ); document.write( "
Algebra.Com's Answer #506199 by grishma.kshatriya(27)\"\" \"About 
You can put this solution on YOUR website!
Solution :
\n" ); document.write( "Consider the first equation as 2y-6bx = 7
\n" ); document.write( "Write this equation in the slope intercept form
\n" ); document.write( "y = mx + b where m is the slope ,
\n" ); document.write( "2y - 6bx = 7
\n" ); document.write( "Adding 6bx on both the sides ,
\n" ); document.write( "2y = 6bx + 7
\n" ); document.write( "Divide by 2 on both the sides ,
\n" ); document.write( "y = 3bx + 7/2
\n" ); document.write( "So here comparing with the y=mx + b ,
\n" ); document.write( " m1 = 3b
\n" ); document.write( "Similarly the second equation 5y+30x+13 = 0
\n" ); document.write( "subtract the 30x and 13 from both the sides we get ,
\n" ); document.write( " 5y = -30x - 13
\n" ); document.write( "Divide both the sides by 5
\n" ); document.write( " y = -6x - 13/5
\n" ); document.write( "So by comparing m2 = -6
\n" ); document.write( "Now it says that the slopes of the lines are equal
\n" ); document.write( " m1 = m2
\n" ); document.write( " 3b = -6
\n" ); document.write( " b = -2 \r
\n" ); document.write( "\n" ); document.write( "Thank you .
\n" ); document.write( "
\n" );