document.write( "Question 849521: The equation of the line that passes through the points (-2,6) and (4,-3) is what? \n" ); document.write( "
Algebra.Com's Answer #512045 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
The equation of the line that passes through the \r\n" );
document.write( "points (-2,6) and (4,-3) is what?\r\n" );
document.write( "\r\n" );
document.write( "First we find the slope by using the slope formula:\r\n" );
document.write( "\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( "where (x1,y1) = (-2,6)\r\n" );
document.write( "and where (x2,y2) = (4,-3)\r\n" );
document.write( "\r\n" );
document.write( "m = \"%28%28-3%29-%286%29%29%2F%28%284%29-%28-2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "m = \"%28-9%29%2F%284%2B2%29\"\r\n" );
document.write( "\r\n" );
document.write( "m = \"%28-9%29%2F6\"\r\n" );
document.write( "\r\n" );
document.write( "m = \"-3%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "Then we use the\r\n" );
document.write( "\r\n" );
document.write( "point-slope formula:\r\n" );
document.write( "\r\n" );
document.write( "y - y1 = m(x - x1)\r\n" );
document.write( "where (x1,y1) = (-2,6)\r\n" );
document.write( "\r\n" );
document.write( "y - 6 = \"-3%2F2\"[x - (-2)]\r\n" );
document.write( "\r\n" );
document.write( "y - 6 = \"-3%2F2\"(x + 2)\r\n" );
document.write( "\r\n" );
document.write( "y - 6 = \"-3%2F2\"x - 3\r\n" );
document.write( "    \r\n" );
document.write( "    y = \"-3%2F2\"x + 3\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );