document.write( "Question 550783: Determine whether the given coordinates are vertices of a triangle. R(1,3),S(4,0),T(10,-6) \n" ); document.write( "

Algebra.Com's Answer #359082 by josmiceli(19441) $\"\"$ $\"About$

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If the slope from R to S is different
\n" ); document.write( "from the slope from S to T, then
\n" ); document.write( "The points cannot lie on the same
\n" ); document.write( "line, and they must form a triangle
\n" ); document.write( "----------
\n" ); document.write( "Slope R to S:
\n" ); document.write( " $\"+%28+3+-+0+%29+%2F+%28+1+-+4+%29+=+3%2F%28-3%29+\"$
\n" ); document.write( " $\"+3%2F%28-3%29+=+-1+\"$
\n" ); document.write( "Slope S to T:
\n" ); document.write( " $\"+%28+0+-+%28-6%29%29+%2F+%28+4+-+10+%29+=+6%2F%28-6%29+\"$
\n" ); document.write( " $\"+6%2F%28-6%29+=+-1+\"$
\n" ); document.write( "---------
\n" ); document.write( "The slopes are the same, so 2 line
\n" ); document.write( "segments joined together with the
\n" ); document.write( "same slope form a straight line, so
\n" ); document.write( "The 3 points do not make a triangle \n" ); document.write( "

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