document.write( "Question 430695: write and equation of the line containing the points (3,-1) and is parallel to 8x-7y=9 \n" ); document.write( "

Algebra.Com's Answer #853250 by ikleyn(53419) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "write and equation of the line containing the points (3,-1) and is parallel to 8x-7y=9
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " I will provide another solution, much simpler than another tutor produced, and without using decimal numbers.\r
\n" ); document.write( "\n" ); document.write( " This my simple solution will bring you an EXACT equation instead of an approximate equation produced by @mananth.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The truth is that if you are given equation of the line\r\n" );
document.write( "\r\n" );
document.write( "    ax + by = c,\r\n" );
document.write( "\r\n" );
document.write( "then any parallel line has equation \r\n" );
document.write( "\r\n" );
document.write( "    ax + by = d,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "with the same form in the left side and some other real number 'd' in the right side.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, we look for the equation for parallel line\r\n" );
document.write( "\r\n" );
document.write( "    8x - 7y = d,    (1)\r\n" );
document.write( "\r\n" );
document.write( "and we should find the value of 'd' such that the coordinates (3,-1) of the given point\r\n" );
document.write( "satisfy this equation \r\n" );
document.write( "\r\n" );
document.write( "    8*3 - 7*(-1) = d,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "which gives  d = 24 + 7 = 31.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the needed equation is  8x - 7y = 31.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This my solution is a STANDARD TREATMENT for such kind of problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Doing this way, you should not worry about the slope, at all.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );