document.write( "Question 1037743: what is 3x+-2y=4 in slope intercept form \n" ); document.write( "
Algebra.Com's Answer #652372 by Theo(13342)![]() ![]() You can put this solution on YOUR website! slope intercept form is y = mx + b \n" ); document.write( "m is the slope and b is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "start with 3x - 2y = 4 \n" ); document.write( "subtract 3x from both sides of the equation to get -2y = -3x + 4 \n" ); document.write( "divide both sides of the equation by -2 to get y = (-3/-2)x + 4/-2. \n" ); document.write( "simplify to get y = (3/2)x - 2. \n" ); document.write( "the slope is 3/2. \n" ); document.write( "the y-intercept is -2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "using both formulas, test a couple of points to make sure they give you the same answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0, 3x - 2y = 4 becomes -2y = 4 which becomes y = -2. \n" ); document.write( "the x = 0 y = (3/2)x - 2 becomes y = -2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 2, 3x - 2y = 4 becomes 6 - 2y = 4 which becomes -2y = -2 which becomes y = 1. \n" ); document.write( "when x = 2, y = (3/2)x - 2 becomes (3/2)*2 - 2 which becomes 3 - 2 which becomes y = 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the two equations give you the same result. \n" ); document.write( "3x - 2y = 4 is the standard form. \n" ); document.write( "y = (3/2)x - 2 is the slope intercept form.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |