document.write( "Question 940692: can you draw me the graph of
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document.write( "y=absolute value of -2x+6
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document.write( "thnk you \n" );
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Algebra.Com's Answer #573314 by macston(5194)![]() ![]() You can put this solution on YOUR website! In an Absolute Value problem, the line will turn at some point if values become negative. \n" ); document.write( "In simple problems this often occurs where y=0 or x=0 \n" ); document.write( "We will first set y=0 \n" ); document.write( " \n" ); document.write( "0=-2x+6 Subtract 2x from both sides \n" ); document.write( "2x=6 Divide both sides by 2 \n" ); document.write( "x=3, So one point on the graph will be (3,0) \n" ); document.write( "Pick an x below 3, say 0, and solve the equation for y: \n" ); document.write( "y=-2x+6 \n" ); document.write( "y=-2(0)+6 \n" ); document.write( "y=6, so the line crosses the y axis at 6 and goes to point (3,0) \n" ); document.write( "Pick an x greater than 3, say 4, and solve again \n" ); document.write( "y=-2x+6y=-2(4)+6 \n" ); document.write( "y=-8+6 \n" ); document.write( "y=-2 Since this is absolute value, we disregard the sign and plot point (4,2) \n" ); document.write( "With these three points we can graph the equation from (0,6) to (3,0) to (4,2) \n" ); document.write( " |