document.write( "Question 42060This question is from textbook algebra 1
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document.write( ": for the line passing through (-4,2)and (1,-2)
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document.write( "a. compute the slope
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document.write( "b. find another point with integer coordinates on this line. \r
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document.write( "Find the equation of each line below
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document.write( "a. the slope of the line is -3 and it passes though the poine of (-2.6)
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document.write( " 2\r
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document.write( "b. the line passes through the the two points (1,-3)and (2,-1) \r
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document.write( "thank you. robbie \n" );
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Algebra.Com's Answer #27272 by ind_blade(2)![]() ![]() ![]() You can put this solution on YOUR website! for the line passing through (-4,2)and (1,-2) \n" ); document.write( "a. compute the slope\r \n" ); document.write( "\n" ); document.write( "slope = (change in y) / (change in x) \n" ); document.write( " = (-2 - 2) / (1 - (-4)) \n" ); document.write( " = ( -4 ) / 5 = -4/5\r \n" ); document.write( "\n" ); document.write( "b. find another point with integer coordinates on this line.\r \n" ); document.write( "\n" ); document.write( "equation of the line is : y= mx +b \n" ); document.write( " y = -4/5 (x) + b at point (1,-2) \n" ); document.write( " -2 = -4/5(1) + b so b = -6/5 \n" ); document.write( "general formula for the line is: \n" ); document.write( "y = -4/5 (x) - 6/5 --> pick a value for x say 2 so: \n" ); document.write( "y = -4/5 (2) - 6/5 = -8/5 - 6/5 = -14/5 \n" ); document.write( "so a point would be: (2, -14/5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find the equation of each line below \n" ); document.write( "a. the slope of the line is -3 and it passes though the poine of (-2.6)\r \n" ); document.write( "\n" ); document.write( " y = mx + b \n" ); document.write( " y = -3x + b for point (-2, 6) b = \n" ); document.write( " 6 = -3(-2) + b \n" ); document.write( "b = 0 so equation of line becomes --> y = -3x\r \n" ); document.write( "\n" ); document.write( "b. the line passes through the the two points (1,-3)and (2,-1)\r \n" ); document.write( "\n" ); document.write( "find slope like above: (-1 - (-3))/(2-1) = 2 \n" ); document.write( "y = 2x + b for point (2, -1) b = \n" ); document.write( "-1 = 2(2) + b \n" ); document.write( "b = -5 \n" ); document.write( "equation then is: y = 2x - 5\r \n" ); document.write( "\n" ); document.write( "thank you. robbie \n" ); document.write( " |