document.write( "Question 1142403: Find the equation of the line containing the points (4, -2) and (1, 3). \n" ); document.write( "
Algebra.Com's Answer #763095 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "First, calculate the slope.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    The formula for the slope of a straight line passing through two given points  (\"x%5B1%5D\",\"y%5B1%5D\")  and  (\"x%5B2%5D\",\"y%5B2%5D\")  is\r\n" );
document.write( "        m = \"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\".\r\n" );
document.write( "\r\n" );
document.write( "    Substitute the given data  \"x%5B1%5D\" = 4,  \"y%5B1%5D\" = -2,  \"x%5B2%5D\" = 1, \"y%5B2%5D\" = 3  into the basic formula\r\n" );
document.write( "\r\n" );
document.write( "        m = \"%283-%28-2%29%29%2F%281-4%29\" = \"5%2F%28-3%29\" = \"-5%2F3\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next, write an equation of the line having the slope  \"-5%2F3\"  and passing through the given point (4,-2).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    An equation of a straight line in a coordinate plane which has the slope m and passes through the given point  P = (a,b)  is \r\n" );
document.write( "\r\n" );
document.write( "        y - b = m*(x-a).     \r\n" );
document.write( "\r\n" );
document.write( "    Substitute here  m = \"-5%2F3\",  a = 4,  b = -2,  and you will get\r\n" );
document.write( "\r\n" );
document.write( "        y - (-2) = \"%28-5%2F3%29%2A%28x-4%29\",   or, equivalently,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        y + 4    = \"%28-5%2F3%29%2A%28x-4%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        Having the equation in this form, you can convert it to any other equivalent form you want.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );