document.write( "Question 278562: Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.\r
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document.write( "x-intercept = 3 and y-intercept = 2
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Algebra.Com's Answer #202686 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! If the y-intercept is 2, then our point must be (0, 2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the x-intercept is 3, then our point must be (3, 0).\r \n" ); document.write( "\n" ); document.write( "We now find the slope.\r \n" ); document.write( "\n" ); document.write( "slope = (0 - 2)/(3 - 0)\r \n" ); document.write( "\n" ); document.write( "slope = -2/3\r \n" ); document.write( "\n" ); document.write( "Plug the slope and one of the points into the point-slope formula.\r \n" ); document.write( "\n" ); document.write( "Here is the point-slope form:\r \n" ); document.write( "\n" ); document.write( "y -(-2) = (-2/3)(x - 0)\r \n" ); document.write( "\n" ); document.write( "To find the slope-intercept form, we solve the point-slope formula above for y.\r \n" ); document.write( "\n" ); document.write( "y -(-2) = (-2/3)(x - 0)\r \n" ); document.write( "\n" ); document.write( "y + 2 = (-2/3)(x) + 0\r \n" ); document.write( "\n" ); document.write( "y = (-2/3)(x) + 0 - 2\r \n" ); document.write( "\n" ); document.write( "y = (-2/3)(x) - 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |