document.write( "Question 523225: Could you please show me how to graph this problem?\r
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document.write( "y=1/3x-4 and 3y-x=4 \n" );
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Algebra.Com's Answer #347245 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Could you please show me how to graph this problem? \n" ); document.write( "y=1/3x-4 and 3y-x=4 \n" ); document.write( "** \n" ); document.write( "These two equations are of straight lines of standard form: y= \n" ); document.write( "+b, m=slope, b=y-intercept. \n" ); document.write( "To graph these lines, equations should be in standard form. \n" ); document.write( "The first equation, y=(1/3)x-4 is already in standard form. \n" ); document.write( "Changing second equation into standard form: \n" ); document.write( "3y-x=4 \n" ); document.write( "3y=x+4 \n" ); document.write( "y=x/3+4 \n" ); document.write( ".. \n" ); document.write( "Only two points are needed to graph the line \n" ); document.write( "For first equation, the y-intercept=-4, so you have one point at (0,-4) \n" ); document.write( "To find the second point, use the slope=1/3=rise/run=∆y/∆x \n" ); document.write( "From the y-intercept (0,-4) move up one unit and 3 units to the right which gives you the second point at (3,-3). The graph of the line go thru these two points (0,-4) \n" ); document.write( ".. \n" ); document.write( "Graphing the line of the second equation is with the same slope but the y-intercept is 4 instead of \n" ); document.write( "-4. You should end up with two lines parallel to each other with slopes of 1/3 \n" ); document.write( "see the graph below as a visual check on your graphs \n" ); document.write( ".. \n" ); document.write( " |