document.write( "Question 64875: write an equation in slope intercept form for the line passing through each pair of points
\n" ); document.write( "1. (-1,3) and (2,-5)
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #45350 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Write an equation in slope intercept form \r\n" );
document.write( "for the line passing through the pair of points\r\n" );
document.write( " (-1,3) and (2,-5)\r\n" );
document.write( "\r\n" );
document.write( "First use the equation for the slope:\r\n" );
document.write( "\r\n" );
document.write( "     y2 - y1\r\n" );
document.write( "m = 覧覧覧覧予r\n" );
document.write( "     x2 - x1\r\n" );
document.write( "\r\n" );
document.write( "where (x1, y1) = (-1, 3) and (x2, y2) = (2, -5)\r\n" );
document.write( "\r\n" );
document.write( "      (-5) - (3)      -5 - 3     -8\r\n" );
document.write( "m = 覧覧覧覧覧覧覧 = 覧覧覧覧 = 覧覧 = -8/3\r\n" );
document.write( "      (2) - (-1)       2 + 1      3 \r\n" );
document.write( "\r\n" );
document.write( "Now substitute in the point slope formula:\r\n" );
document.write( "\r\n" );
document.write( "y - y1 = m(x - x1)\r\n" );
document.write( "\r\n" );
document.write( "y - 3 = (-8/3)( x - (-1) )\r\n" );
document.write( "y - 3 = (-8/3)(x + 1)\r\n" );
document.write( "y - 3 = (-8/3)x - 8/3\r\n" );
document.write( "\r\n" );
document.write( "Multiply both side by LCD = 3\r\n" );
document.write( "\r\n" );
document.write( "  3y - 9 = -8x - 8\r\n" );
document.write( "\r\n" );
document.write( " 8x + 3y = 1\r\n" );
document.write( "\r\n" );
document.write( "That's the answer in standard form. If you\r\n" );
document.write( "need it to be in slope-intercept form, solve\r\n" );
document.write( "it for y:\r\n" );
document.write( "\r\n" );
document.write( "     3y = -8x + 1\r\n" );
document.write( "\r\n" );
document.write( "      y = (-8/3)x + 1/3\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );