document.write( "Question 49068:
\n" ); document.write( "Determine the equation of the line through (0,9) that is parallel to the line
\n" ); document.write( "3x + 5y =15.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #32523 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
Re-write the first equation in slope-intercept format (y=mx+b):
\n" ); document.write( "3x + 5y =15
\n" ); document.write( "y = -3/5x -15/5
\n" ); document.write( "y = -3/5x + 3
\n" ); document.write( "The slope (m) = (-3/5)\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "Since parallel lines have the same slope, the slope of the second line will also equal (-3/5).
\n" ); document.write( ".
\n" ); document.write( "Use the slope-intercept formula to find the equation of the second line:
\n" ); document.write( "y = mx + b [Plug-in the values (0, 9) and the slope (-3/5).
\n" ); document.write( "9 = (-3/5)(0) + b [Solve for b]
\n" ); document.write( "9 = b.
\n" ); document.write( "So, the equation of the second line is:
\n" ); document.write( "y = (-3/5)x + 9
\n" ); document.write( "
\n" ); document.write( "
\n" );