document.write( "Question 57569: Graph
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document.write( "4x - 3y = 6 by the slope intercept method.
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Algebra.Com's Answer #39364 by phillv(13)![]() ![]() ![]() You can put this solution on YOUR website! Rewrite the equation in the form of equation for a line: \n" ); document.write( "Y=mX+b where m is the slope or stepeness of the line. \n" ); document.write( "A positive slope indicates that the line will slant up and to the right. \n" ); document.write( "3Y=4X-6 \n" ); document.write( "Dividing both sides of the equation by 3 gives us: \n" ); document.write( "Y=(4/3)X-2 with a slope of 4/3\r \n" ); document.write( "\n" ); document.write( "Find the Y intercept by setting x=0 \n" ); document.write( "When X=0, Y=-2 \n" ); document.write( "The Y intercept is Y=-2\r \n" ); document.write( "\n" ); document.write( "Find X intercept when Y=0 \n" ); document.write( "When Y=0, 0=4/3X-2 \n" ); document.write( "(4/3)X=2 \n" ); document.write( "Dividing both sides by 2 gives us: \n" ); document.write( "(4/3)X/2=2/2 \n" ); document.write( "(4/3*2)X=1 \n" ); document.write( "(4/6)X=1 \n" ); document.write( "(2/3)X=1 \n" ); document.write( "Multiplying both sides of the equation by 3/2 gives us: \n" ); document.write( "X=3/2\r \n" ); document.write( "\n" ); document.write( "When Y=0, X=3/2 \n" ); document.write( "The X intercept is X=3/2\r \n" ); document.write( "\n" ); document.write( "We now know that (0,-2)and ((3/2),0) \n" ); document.write( "are two points of this line. \n" ); document.write( "Plot the two points and draw the line. \n" ); document.write( " \n" ); document.write( " |