document.write( "Question 1080152: Graph the equation below using the three listed methods.
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document.write( "y= -2x + 4\r
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document.write( "Methods:
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document.write( "table of values
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document.write( "slope intercept form
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document.write( "X and Y intercepts \r
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document.write( "Explain each step as you graph the equation\r
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document.write( "Need immediate help with this. Thank you.
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Algebra.Com's Answer #694401 by Edwin McCravy(20065) You can put this solution on YOUR website! \r\n" ); document.write( "I will change your numbers and do this one instead,\r\n" ); document.write( "which is step by step exactly like yours.\r\n" ); document.write( "So you can use it as a model to do yours by.\r\n" ); document.write( " \n" ); document.write( "Graph the equation below using the three listed methods. \n" ); document.write( "y= -3x + 6\r \n" ); document.write( "\n" ); document.write( "Methods: \n" ); document.write( "table of values \n" ); document.write( "slope intercept form \n" ); document.write( "X and Y intercepts \r \n" ); document.write( "\n" ); document.write( "Explain each step as you graph the equation \n" ); document.write( " \r\n" ); document.write( "-------------------------\r\n" ); document.write( "table of values:\r\n" ); document.write( "\r\n" ); document.write( " x | y | (x,y) \r\n" ); document.write( "----------------\r\n" ); document.write( " 1 | | \r\n" ); document.write( " 2 | | \r\n" ); document.write( " 3 | | \r\n" ); document.write( " 4 | | \r\n" ); document.write( "\r\n" ); document.write( "I arbitrarily chose 1,2,3,and 4 for x and substituted them into\r\n" ); document.write( "the given equation:\r\n" ); document.write( "\r\n" ); document.write( "y = -3x + 6 y = -3x + 6 y = -3x + 6 y = -3x + 6\r\n" ); document.write( "y = -3(1) + 6 y = -3(2) + 6 y = -3(3) + 6 y = -3(4)+6\r\n" ); document.write( "y = -3+6 y = -6 + 6 y = -9 + 6 y = -12 + 6\r\n" ); document.write( "y = 3 y = 0 y = -3 y = -6\r\n" ); document.write( "\r\n" ); document.write( "Then I finished filling in the table:\r\n" ); document.write( "\r\n" ); document.write( " x | y | (x,y) \r\n" ); document.write( "----------------\r\n" ); document.write( " 1 | 3 | (1,3)\r\n" ); document.write( " 2 | 0 | (2,0)\r\n" ); document.write( " 3 | -3 | (3,-3) \r\n" ); document.write( " 4 | -6 | (4,-6) \r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "Slope-intercept form methof: \n" ); document.write( " \r\n" ); document.write( "Compare the equation y = -3x + 6\r\n" ); document.write( "to the equation y = mx + b\r\n" ); document.write( "\r\n" ); document.write( "and you see that m = -3 and b = 6\r\n" ); document.write( "\r\n" ); document.write( "m = -3 is the slope and b is the y-intercept.\r\n" ); document.write( "\r\n" ); document.write( "Always consider the slope m as a fraction. In this case m = -3\r\n" ); document.write( "is not a fraction, so we put a 1 under it to make it into a\r\n" ); document.write( "fraction, because slope is the fraction \n" ); document.write( "X and Y intercept method: \n" ); document.write( " \r\n" ); document.write( "To find the x-intercept, the point where the line crosses the \r\n" ); document.write( "x-axis, substitute 0 for the other letter, y, and solve for x.\r\n" ); document.write( "\r\n" ); document.write( " y = -3x + 6\r\n" ); document.write( " 0 = -3x + 6\r\n" ); document.write( "3x = 6\r\n" ); document.write( " x = 2, so the line crosses the x-axis at 2.\r\n" ); document.write( "\r\n" ); document.write( "To find the y-intercept, the point where the line crosses the \r\n" ); document.write( "y-axis, substitute 0 for the other letter, x, and solve for y.\r\n" ); document.write( "\r\n" ); document.write( " y = -3x + 6\r\n" ); document.write( " y = -3(0) + 6\r\n" ); document.write( " y = 0+6\r\n" ); document.write( " y = 6, so the line crosses the y-axis at 6.\r\n" ); document.write( "\r\n" ); document.write( "[Notice that this is the same y-intercept that we used in the\r\n" ); document.write( "previous method].\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |