document.write( "Question 3068: A line with a slope of 1/2 is drawn thru point P at (-2,,2). Moving from left to right, what is the next ordered pair of whole numbers on the line?\r
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document.write( "How does one figure out this answer? \n" );
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Algebra.Com's Answer #1301 by abhinav75(8)![]() ![]() ![]() You can put this solution on YOUR website! The slope of the line is 1/2. \n" ); document.write( "now, let us take the equation of the line as: \n" ); document.write( "y = mx + c \n" ); document.write( "now, m = 1/2 \n" ); document.write( "so, y = 1/2x + c \n" ); document.write( "=> 2y = x + 2c \n" ); document.write( "now, it passes through (-2,2) \n" ); document.write( "2(2) = -2 + 2c \n" ); document.write( "=> 4 = -2 + 2c \n" ); document.write( "=> 2c = 6 \n" ); document.write( "=> c= 3 \n" ); document.write( " so, the equation is : y = 2x + 3 \n" ); document.write( "to find next ordered pair.. \n" ); document.write( "now, see that whenever x is a whole number, y wud be a whole number as well. \n" ); document.write( "so, if we take x = 0, y =3. \n" ); document.write( "so, the next pair wud be (0,3)\r \n" ); document.write( "\n" ); document.write( "Please note that whole numbers start from 0. \n" ); document.write( " |