document.write( "Question 1035766: A line passing through the points (2a+2,3a^2) and (3a+4,5a^2) has a slope of a+3. Find all possible values of a. \n" ); document.write( "

Algebra.Com's Answer #650415 by fractalier(6550) $\"\"$ $\"About$

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We would write, using the formula for the slope
\n" ); document.write( " $\"m+=+a+%2B+3+=+%285a%5E2-3a%5E2%29%2F%28%283a%2B4%29-%282a%2B2%29%29\"$
\n" ); document.write( "which simplifies to
\n" ); document.write( " $\"a+%2B+3+=+2a%5E2+%2F%28a%2B2%29\"$
\n" ); document.write( "Multiply by a+2, we get
\n" ); document.write( " $\"a%5E2+%2B+5a+%2B+6+=+2a%5E2\"$
\n" ); document.write( "Rearranging we get
\n" ); document.write( " $\"a%5E2+-+5a+-+6+=+0\"$
\n" ); document.write( " $\"%28a-6%29%28a%2B1%29+=+0\"$
\n" ); document.write( "and
\n" ); document.write( "a = 6 or a = -1 \n" ); document.write( "

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