document.write( "Question 71082This question is from textbook
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document.write( ": write the slope intercept form for an equation of the line parallel to the graph of the given equation and passing through the given point?\r
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document.write( " 3x+9y=1, (3,0) \n" );
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Algebra.Com's Answer #50828 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! FIRST WE FIND THE SLOPE OF THE LINE \n" ); document.write( "3X+9Y+1 \n" ); document.write( "9Y=-3X+1 \n" ); document.write( "Y=-3X/9+1/9 \n" ); document.write( "Y=-X/3+1/9 THIS LINE HAS A SLOPE OF -1/3 SO ANY LINE PARALLEL TO THIS LINE ALSO HAS A SLOPE OF -1/3. \n" ); document.write( "NOW WE SUBSTITUTE THE (X,Y) VALUES OF THE POINT THAT THE NEW LINE PASSES THROUH & SOLVE FOR THE Y INTERCEPT (b) \n" ); document.write( "0=3*-1/3+b \n" ); document.write( "0=-1+b \n" ); document.write( "b=1 THEREFORE THE LINE FORMULA FOR THIS LINE THROUGH (3,0) WITH A SLOPE OF -1/3 IS \n" ); document.write( "Y=-X/3+1 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |