document.write( "Question 92559: Find an equation in standard form of the line described.\r
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document.write( "has x-intercept 4 and y-intercept -8\r
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document.write( "Ch.3
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Algebra.Com's Answer #67378 by chitra(359)![]() ![]() You can put this solution on YOUR website! The given data is: \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-intercept 4 and y-intercept -8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This can be written as: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - intercept is - (4, 0) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - intercept is - (0, -8)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The general equation of the line in the slope -intercept form is given by: y = mx + b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So substituing these points in the given equationwe get: \r \n" ); document.write( "\n" ); document.write( "(4,0) ==> 0 = 4m + c \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> c = -4m \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(0, -8) ==> -8 = 0 + c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> c = -8 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituing this in the above equation, we get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-8 = -4m \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 8 = 4m \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> m = 2 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so substituing this in the eqn of the st line, we get:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = mx + b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 2x - 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the solution. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |