document.write( "Question 355149: please explain\r
\n" );
document.write( "\n" );
document.write( "find the equation of line in standard form, given that it passes through (-4,1) and slope-3\r
\n" );
document.write( "\n" );
document.write( "thank you \n" );
document.write( "
Algebra.Com's Answer #253693 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! We need to write the answer in the form Ax + By = C.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We are given the slope and one point. We can plug this data into the point-slope formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The point-slope formula: y - y1 + m(x - x1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 1 = -3(x -(-4))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 1 = -3(x + 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 1 = -3x - 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3x -12 + 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3x - 11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation is now in the y-intercept form. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need to change it to the form Ax + By = C. This is called the standard form of the equation of the line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simply add 3x to both sides and we are done.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x + y = -11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Did you follow? \n" ); document.write( " |