Algebra.Com's Answer #775380 by MathLover1(20850)  You can put this solution on YOUR website! \r \n" );
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document.write( " growth of bacteria colonies that can be modeled by a linear graph?\r \n" );
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document.write( "first determine if points lie in a line\r \n" );
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document.write( "A.Time (in hours) , , , \n" );
document.write( "Number of colonies , , , \r \n" );
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document.write( " Solved by pluggable solver: To determine if 3 points lie in a line | \n" );
document.write( " The 3 points lie on a same plane. For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. \n" );
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document.write( " In order to prove the 3 points to lie on a line, as there exists a unique line containing three points and every line has a unique slope. \n" );
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document.write( " Hence it will be sufficient to prove that the slope calculated taking 2 points at a time should be equal. \n" );
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document.write( " Slope of line taking points (X1,Y1) and (X2,Y2) is \n" );
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document.write( " ........................(1) \n" );
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document.write( " Slope of line taking points (X3,Y3) and (X1,Y1) is \n" );
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document.write( " ........................(2) \n" );
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document.write( " From conditions (1) and (2) \n" );
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document.write( " The 3 points do not a same line. \n" );
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document.write( " For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. \n" );
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document.write( " Here the slopes are unequal hence the points do not lie on same line. \n" );
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document.write( " To read more on equations of a line refer to articles on wikipedia \n" );
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document.write( "The points do not a same line.=>not your answer\r \n" );
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document.write( "B. Time (in hours) , , , \n" );
document.write( "Numbers of colonies , , , \r \n" );
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document.write( "It is proved that the on line\r \n" );
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document.write( "C.Time (in hours) , , , \n" );
document.write( "Numbers of colonies , , , \r \n" );
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document.write( " Solved by pluggable solver: To determine if 3 points lie in a line | \n" );
document.write( " The 3 points lie on a same plane. For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. \n" );
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document.write( " \n" );
document.write( " In order to prove the 3 points to lie on a line, as there exists a unique line containing three points and every line has a unique slope. \n" );
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document.write( " \n" );
document.write( " Hence it will be sufficient to prove that the slope calculated taking 2 points at a time should be equal. \n" );
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document.write( " \n" );
document.write( " Slope of line taking points (X1,Y1) and (X2,Y2) is \n" );
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document.write( "  \n" );
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document.write( " ........................(1) \n" );
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document.write( " Slope of line taking points (X3,Y3) and (X1,Y1) is \n" );
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document.write( "  \n" );
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document.write( " ........................(2) \n" );
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document.write( " From conditions (1) and (2) \n" );
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document.write( " The 3 points do not a same line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " Here the slopes are unequal hence the points do not lie on same line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " To read more on equations of a line refer to articles on wikipedia \n" );
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document.write( "The points do not a same line.=>not your answer\r \n" );
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document.write( "D. Time (in hours) , , , \n" );
document.write( "Number of colonies , , , \r \n" );
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document.write( "\n" );
document.write( " Solved by pluggable solver: To determine if 3 points lie in a line | \n" );
document.write( " The 3 points lie on a same plane. For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " In order to prove the 3 points to lie on a line, as there exists a unique line containing three points and every line has a unique slope. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " Hence it will be sufficient to prove that the slope calculated taking 2 points at a time should be equal. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " Slope of line taking points (X1,Y1) and (X2,Y2) is \n" );
document.write( " \n" );
document.write( "  \n" );
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document.write( " ........................(1) \n" );
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document.write( " \n" );
document.write( " Slope of line taking points (X3,Y3) and (X1,Y1) is \n" );
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document.write( "  \n" );
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document.write( " ........................(2) \n" );
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document.write( " From conditions (1) and (2) \n" );
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document.write( " The 3 points do not a same line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " Here the slopes are unequal hence the points do not lie on same line. \n" );
document.write( " \n" );
document.write( " \n" );
document.write( " To read more on equations of a line refer to articles on wikipedia \n" );
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document.write( "The points do not a same line.=>not your answer\r \n" );
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document.write( "so, answer is B:\r \n" );
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document.write( "let find equation using point-slope formula:\r \n" );
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document.write( "use two points to find a slope\r \n" );
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document.write( "check the graph:\r \n" );
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