document.write( "Question 29716: Assume that all variables represent real numbers. Indicate whether each equation determines y to be a function of x.
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document.write( " y - 2x = 0
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document.write( "Can you help me understand the concept of finding the answer? \n" );
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Algebra.Com's Answer #16616 by sdmmadam@yahoo.com(530) ![]() You can put this solution on YOUR website! y - 2x = 0 ----(1) \n" ); document.write( "y = 2x is of the form y=(m)x which represents a line \n" ); document.write( "through the origin with slope = 2 \n" ); document.write( "Let us now plot points after drawing the preliminary rectangular co-ordinate axes of reference(the x-axis andthe y axis) and marking the point O,the origin, giving values to x say: \n" ); document.write( "-4,-3,-2.5,-2,-1.5,-1,0,1,2,3,3.5,4,4.5,5,5.5,6 etc \n" ); document.write( "we get the corresponding values of y given by \n" ); document.write( "-8,-6,-5,-4,-3,-2,0,1,4,6,7,8,9,10,11,12, ... \n" ); document.write( "we get points (-4,-8),(-3,-6),(-2.5,-5),(-2,-4),(-1.5,-3),(-1,-2),(0,0),(1,2),(2,4),(3,6),(3.5,7),(4,8),(4.5,9),(5,10),(5.5,11),(6,12).. \n" ); document.write( "which when plotted and joined by a smooth line we get a line through the origin. If we measure the angle which this line makes with the positive side of the x-axis and consider the trigonometric function tangent of this angle which by definition is the slope of the line we get the value 2. \n" ); document.write( " |