document.write( "Question 1066373: A graph with the following table: find its average rate of change from x=-1 to x=3
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document.write( "x y
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document.write( "-5, 6
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document.write( "-3, 0
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document.write( "-1, -2
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document.write( "1, 0
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document.write( "3, 6\r
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document.write( "\n" );
document.write( "Thank you!
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document.write( "
Algebra.Com's Answer #681553 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! Look at the x column and find -1 in that column. The value right next to -1 is -2. The -2 is in the y column\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That row means x = -1 and y = -2 pair up together to form the point (-1,-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Similarly, another point drawn from the table is (3,6) which is the last row of the table.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Use the slope formula to find the slope of the line through the points (-1,-2) and (3,6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case, \n" ); document.write( "(x1,y1) = (-1,-2) \n" ); document.write( "x1 = -1 \n" ); document.write( "y1 = -2 \n" ); document.write( "and \n" ); document.write( "(x2,y2) = (3,6) \n" ); document.write( "x2 = 3 \n" ); document.write( "y2 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plugging those values into the formula gives \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The slope is 2, which means the average rate of change from x = -1 to x = 3 is 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The final answer is 2 \n" ); document.write( " |