document.write( "Question 115773: graph the equation
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document.write( "2x+6=0 \n" );
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Algebra.Com's Answer #84247 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Begin by solving the given equation for x. The first step is to get rid of the +6 on the left \n" ); document.write( "side by subtracting 6 from both sides. When you do this subtraction the equation becomes: \n" ); document.write( ". \n" ); document.write( "2x = -6 \n" ); document.write( ". \n" ); document.write( "Then solve for x by dividing both sides of this equation by 2 because 2 is the multiplier of x. \n" ); document.write( "When you do this division the equation is reduced to: \n" ); document.write( ". \n" ); document.write( "x = -6/2 = -3 \n" ); document.write( ". \n" ); document.write( "The question now is, \"How do you graph x = -3?\" One way to look at this is that x is always \n" ); document.write( "equal to -3 no matter what value y is because y doesn't even appear in the equation. Therefore, \n" ); document.write( "you can say things such as when y = 0, x = -3, when y = -10, x = -3, when y = +8, x = -3 \n" ); document.write( "and so on. If you plot these points ... (-3, 0), (-3, -10), (-3, +8) you will begin to \n" ); document.write( "get the idea that on a coordinate system the graph of x = -3 is a vertical line that goes \n" ); document.write( "through the point -3 on the x-axis. \n" ); document.write( ". \n" ); document.write( "Your graph should look like this (the graph is the vertical line in light red): \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Hope this helps. Be aware that the graph of any equation of the form x = A where A is a constant \n" ); document.write( "is a vertical line through the point A on the x-axis. \n" ); document.write( ". \n" ); document.write( " |