document.write( "Question 49393: Graph:\r
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document.write( "y \"is less than or equal to sign\" 2x-2\r
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document.write( "Thanks!\r
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document.write( "Can you show me how one tutor got the points (0,-2) and (1,0) through the problem because that's the one part I really don't understand.\r
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document.write( "Thanks again! \n" );
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Algebra.Com's Answer #32829 by Born2TeachMath(20) ![]() You can put this solution on YOUR website! Graph of y <= 2x - 2.\r \n" ); document.write( "\n" ); document.write( "The important part is to graph the line first. \n" ); document.write( "Your tutor chose to use the intercept method, which means to find the two points where the line crosses the x- and y-axes. To find the intercepts, a point is an intercept when the opposite point coordinate is zero. (Think - a point on the x-axis has a y-value of 0, and a point on the y-axis has an x-coordinate of 0!) \n" ); document.write( "Therefore: x-intercept (y = 0) \n" ); document.write( "0 = 2x - 2 \n" ); document.write( "2 = 2x \n" ); document.write( "1 = x, \n" ); document.write( "so the first point is (1, 0) \n" ); document.write( "y-intercept: (x = 0) \n" ); document.write( "y = 2(0) - 2 \n" ); document.write( "y = 0 - 2 \n" ); document.write( "y = -2 \n" ); document.write( "so the second point is (0, -2) \n" ); document.write( "That is how the tutor found the two points to plot. \n" ); document.write( "I wouldn't do it that way. WIth the equation y = 2x - 2, this is in slope-intercept form. If you know about this, the 2 from the 2x is the slope, and the -2 is the y-intercept. \n" ); document.write( "So to plot this line, start by plotting the y-intercept of -2, or a point on the y-axis 2 units below the origin. \n" ); document.write( "Then, FROM THERE (not the origin), we move the slope of 2/1 (change it into a fraction), so we move up two units and over one unit, which gives us the point (1, 0). Draw the line between these two, and then shade, etc... \n" ); document.write( " |