document.write( "Question 762671: Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
\n" ); document.write( " A.-1/3 B.1/3 C.-3 D.3\r
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Algebra.Com's Answer #464123 by malglu(63)\"\" \"About 
You can put this solution on YOUR website!
fisrt we need to find the equation of the line. fill in y=mx +c for both points you know
\n" ); document.write( "3=2m+c
\n" ); document.write( "-3=4m+c\r
\n" ); document.write( "\n" ); document.write( "now solve by simultaneous equations. first multiply the fisrt equation by 2
\n" ); document.write( "6=4m +2c
\n" ); document.write( "then take away the second equation from this to get
\n" ); document.write( "9=c\r
\n" ); document.write( "\n" ); document.write( "now go back to any of the two equtions, substitute c=9 to get m =-3
\n" ); document.write( "thus the equation is y=-3x +9
\n" ); document.write( "now a line perpendicular to it has a gradient - the gradient , so
\n" ); document.write( "y=3x+9
\n" ); document.write( "so the answer is 3\r
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