document.write( "Question 1110331: Write the equation of a line through C that is parallel to AB?\r
\n" ); document.write( "\n" ); document.write( "A(-1,4) B(3,1) C(0,-3)\r
\n" ); document.write( "\n" ); document.write( "The equation is y= mx + b.
\n" ); document.write( "

Algebra.Com's Answer #725332 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
A( -1, 4 )
\n" ); document.write( "B( 3, 1 )
\n" ); document.write( "Slope = [ change in y ] / [ change in x ]
\n" ); document.write( "\"+m+=+%28+4+-+1+%29+%2F+%28+-1+-+3+%29+\"
\n" ); document.write( "\"+m+=+3+%2F+%28-4%29+\"
\n" ); document.write( "\"+m+=+-3%2F4+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+m+\" is also the slope of any
\n" ); document.write( "line parallel to this on
\n" ); document.write( "-----------------------------
\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( "C( 0, -3 )
\n" ); document.write( "\"+%28+y+-%28-3%29+%29+%2F+%28+x+-+0+%29+=+-3%2F4+\"
\n" ); document.write( "\"+%28+y+%2B+3+%29+%2F+x+=+-3%2F4+\"
\n" ); document.write( "Multiply both sides by \"+4x+\"
\n" ); document.write( "\"+4%2A%28+y+%2B+3+%29+=+-3%2Ax+\"
\n" ); document.write( "\"+y+%2B+3+=+%28-3%2F4%29%2Ax+\"
\n" ); document.write( "\"+y+=+%28-3%2F4%29%2Ax+-+3+\"
\n" ); document.write( "
\n" );