document.write( "Question 49068:
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document.write( "Determine the equation of the line through (0,9) that is parallel to the line
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document.write( "3x + 5y =15.
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Algebra.Com's Answer #32523 by tutorcecilia(2152)![]() ![]() 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( " |