document.write( "Question 1134499: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-6,4) and is parallel to the line x-3y=6 \n" ); document.write( "
Algebra.Com's Answer #751898 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            The solution by @mathsolverplus is fatally WRONG.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            The solution by @MathLover1 is fatally WRONG, too.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            I came to provide a correct solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Each line parallel to the line x - 3y = 6 has THE SAME left side \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x - 3y = c,      (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "where \"c\" is the constant term.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To determine the constant value of \"c\", use the condition that the point (-6,4) belongs to the line  (1).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For it, substitute the coordinates x= -6,  y= 4 into equation (1) and calculate \"c\". You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    -6 - 3*4 = c = -6 - 12 = -18.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus your final equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x - 3y = -18.       ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved, completed and answered.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For this and many other similar problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Find the slope of a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line having a given slope and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Solving problems related to the slope of a straight line\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( "    - Equation for a straight line parallel to a given line and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line perpendicular to a given line and passing through a given point \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons related to the slope of a straight line \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );