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)![]() ![]() ![]() 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( " |