document.write( "Question 297656: Any help would be appreciated
\n" );
document.write( "Find the equations for the following lines and then graph them using any graphing utility
\n" );
document.write( "Parallel to 6x - 4y + 12 = 0, and passing through the line x = 3\r
\n" );
document.write( "\n" );
document.write( "John \n" );
document.write( "
Algebra.Com's Answer #214320 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! x=3 is a vertical line with slope undefined x is always 3 and y can be anything \n" ); document.write( "If a line passes through x=3 that means x will be 3 \n" ); document.write( "So let's check that our line goes through x=3 \n" ); document.write( "6*3-4y+12=0 \n" ); document.write( "18-4y+12=0 \n" ); document.write( "30-4y=0 \n" ); document.write( "30=4y \n" ); document.write( "30/4=y \n" ); document.write( "Yes, it does pass through x=3 \n" ); document.write( "So a parallel line will also pass through x=3 \n" ); document.write( "So you need to find the slope of 6x-4y+12=0 \n" ); document.write( "where 6=a and b=-4 and -a/b is the slope \n" ); document.write( "The new line will have the same slope. \n" ); document.write( "Now you need to write an equation with that slope \n" ); document.write( "y=mx where m is that slope. \n" ); document.write( "done \n" ); document.write( " \n" ); document.write( " |