document.write( "Question 290658: find an equation for the line parallel to the line 4x-3y=-9 having the same y-intercept as 7x+4y=7 \n" ); document.write( "
Algebra.Com's Answer #210320 by blwinbbbles(106)\"\" \"About 
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First convert both equations to slope intercept form which is
\n" ); document.write( "y = mx + b with m being the slope and b is the y intercept\r
\n" ); document.write( "\n" ); document.write( "Equation 1:
\n" ); document.write( "4x-3y=-9 subtract 4x from both sides
\n" ); document.write( "-3y = -4x - 9 divide both sides by -3
\n" ); document.write( "y = (4/3)x + 3 so the slope in equation 1 is 4/3\r
\n" ); document.write( "\n" ); document.write( "Equation 2:
\n" ); document.write( "7x + 4y = 7 subtract 7x from both sides
\n" ); document.write( "4y = -7x + 7 divide both sides by 4
\n" ); document.write( "y = (-7/4)x + 7/4 so the y-intercept is 7/4\r
\n" ); document.write( "\n" ); document.write( "Now parallel lines have the same slope.\r
\n" ); document.write( "\n" ); document.write( "the problem wants us to find the equation using the slope from equation 1 and the y intercept from equation 2\r
\n" ); document.write( "\n" ); document.write( "therefore the new equation will be: using the form y = mx + b
\n" ); document.write( "So: y = (4/3)x + 7/4
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