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
\n" ); document.write( "(-7,9) 5x=7y+6\r
\n" ); document.write( "\n" ); document.write( "The equation of the line is y = ?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #369767 by nerdybill(7384)\"\" \"About 
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( "
\n" );