document.write( "Question 576264: Write an equation of the line containing the given point and parallel to the given point express your answer in the form y=m+b
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document.write( "(-7,9) 5x=7y+6\r
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document.write( "The equation of the line is y = ?
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Algebra.Com's Answer #369767 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Write an equation of the line containing the given point and parallel to the given point express your answer in the form y=m+b \n" ); document.write( "(-7,9) 5x=7y+6 \n" ); document.write( "first, we need to find the slope of: \n" ); document.write( "5x=7y+6 \n" ); document.write( "do this, by putting it in \"slope-intercept\" form: \n" ); document.write( "5x=7y+6 \n" ); document.write( "5x-6=7y \n" ); document.write( "(5/7)x - 6/7 = y \n" ); document.write( "the slope of 5/7 \n" ); document.write( "so, a line that is parallel must have the same slope. \n" ); document.write( "plug the slope (5/7) and the given point (-7,9) into the \"point-slope\" form: \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "y - 9 = (5/7)(x - (-7)) \n" ); document.write( "y - 9 = (5/7)(x + 7) \n" ); document.write( "y - 9 = (5/7)x + 5 \n" ); document.write( "y = (5/7)x + 14 \n" ); document.write( ". \n" ); document.write( "The equation of the line is y = (5/7)x + 14 \n" ); document.write( " \n" ); document.write( " |