document.write( "Question 630978: What is the standard form equation of the line passing through (3, –2) with a slope of 3/5 \n" ); document.write( "
Algebra.Com's Answer #397259 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! What is the standard form equation of the line passing through (3, –2) with a slope of 3/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We use the formula:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - y1 = m(x - x1)\r \n" ); document.write( "\n" ); document.write( "y - (-2) = 3/5(x - 3)\r \n" ); document.write( "\n" ); document.write( "y - (-2) = y + 2\r \n" ); document.write( "\n" ); document.write( "Now we have:\r \n" ); document.write( "\n" ); document.write( "y + 2 = 3/5(x - 3)\r \n" ); document.write( "\n" ); document.write( "Cross multiply:\r \n" ); document.write( "\n" ); document.write( "5(y + 2) = 3(x - 3)\r \n" ); document.write( "\n" ); document.write( "5 * y = 5y\r \n" ); document.write( "\n" ); document.write( "5 * 2 = 10\r \n" ); document.write( "\n" ); document.write( "3 * x = 3x\r \n" ); document.write( "\n" ); document.write( "3 * -3 = -9\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "5y + 10 = 3x - 9\r \n" ); document.write( "\n" ); document.write( "Subtract 10 from each side of the equation.\r \n" ); document.write( "\n" ); document.write( "5y + 10 - 10 = 3x - 9 - 10\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "10 - 10 = 0\r \n" ); document.write( "\n" ); document.write( "-9 - 19 = -19\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "5y = 3x - 19\r \n" ); document.write( "\n" ); document.write( "Divide each item by 5\r \n" ); document.write( "\n" ); document.write( "5y/5 = 3x/5 - 19/5\r \n" ); document.write( "\n" ); document.write( "y = 3x/5 - 19/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The Answer:\r \n" ); document.write( "\n" ); document.write( "y = 3x/5 - 19/5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lennox Obuong \n" ); document.write( "Algebra Student \n" ); document.write( "Email: obuong3@aol.com \n" ); document.write( " |