document.write( "Question 98124: Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.\r
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\n" ); document.write( "\n" ); document.write( "The line through (0,9) that is parallel to the line 3x+5y=15.
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Algebra.Com's Answer #71361 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
WE NEED TO FIND THE SLOPE OF THIS LINE
\n" ); document.write( "3X+5Y=15
\n" ); document.write( "5Y=-3X+15
\n" ); document.write( "Y=-3X/5+15/5
\n" ); document.write( "Y=-3X/5+3 HERE THE SLOPE IS -3/5. (RED LINE)
\n" ); document.write( "THEN THE LINE THROUGH (0,9) MUST HAVE A SLOPE OR (-3/5) ALSO TO BE PARALLEL.
\n" ); document.write( "NOW SUBSTITUTE THESE (X,Y) VALUES (0,9) & THE SLOPE OF (-3/5) IN THE LINE EAUQTION 7 SOLVE FOR (b) THE Y INTERCEPT OF THIS LINE:
\n" ); document.write( "9=-3/5*0+b
\n" ); document.write( "b=9 FOR THE Y INTERCEPT OG THIS LINE THAT IS PARALLEL TO THE GIVEN LINE WITH A SLOPE OF (-3/5) & A Y INTERCEPT (b=9)
\n" ); document.write( "Y=-3X/5+9 (GREEN LINE)
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F5+%2B3%2C+y+=+-3x%2F5+%2B9%29+\" (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions Y = -3X/5 +3 and Y = -3X/5 +9).
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