document.write( "Question 632535: find the slope, if it exists, of the line containing the pair of two points(-19,-16)(-20,-18) \n" ); document.write( "
Algebra.Com's Answer #398349 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! find the slope, if it exists, of the line containing the pair of two points(-19,-16)(-20,-18)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We use the slope formula:\r \n" ); document.write( "\n" ); document.write( "(y2 - y1)/(x2 - x1)\r \n" ); document.write( "\n" ); document.write( "(-18 -(-16)/(-20 - (-19)\r \n" ); document.write( "\n" ); document.write( "-18 -(-16) = -18 + 16 = -2\r \n" ); document.write( "\n" ); document.write( "-20 -(-19) = -20 + 19 = -1\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "-2/-1 = 2\r \n" ); document.write( "\n" ); document.write( "The Slope: 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's find out the equation of the line:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(y - y1) = m(x - x1)\r \n" ); document.write( "\n" ); document.write( "y - (-16) = 2(x - (-19)\r \n" ); document.write( "\n" ); document.write( "y - (-16) = y + 16\r \n" ); document.write( "\n" ); document.write( "x - (-19) = x + 19\r \n" ); document.write( "\n" ); document.write( "y + 16 = 2(x + 19)\r \n" ); document.write( "\n" ); document.write( "2 * x = 2x\r \n" ); document.write( "\n" ); document.write( "2 * 19 = 38\r \n" ); document.write( "\n" ); document.write( "y + 16 = 2x + 38\r \n" ); document.write( "\n" ); document.write( "Subtract 16 from each side of the equation.\r \n" ); document.write( "\n" ); document.write( "y + 16 - 16 = 2x + 38 - 16\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "16 - 16 = 0\r \n" ); document.write( "\n" ); document.write( "38 - 16 = 22\r \n" ); document.write( "\n" ); document.write( "The equation of the line:\r \n" ); document.write( "\n" ); document.write( "y = 2x + 22\r \n" ); document.write( "\n" ); document.write( "The Slope: 2\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( "obuong3@aol.com \n" ); document.write( " |