document.write( "Question 261982: Please help me solve: The points (1, 2), (3, 7), and (10, t) lie on the same line. Find the value of t. \n" ); document.write( "

Algebra.Com's Answer #193058 by drk(1908) $\"\"$ $\"About$

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Here are the steps
\n" ); document.write( "step 1 - find the slope between (1, 2), (3, 7) using slope formula as
\n" ); document.write( " $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "we get
\n" ); document.write( " $\"m+=+%287-2%29%2F%283-1%29\"$
\n" ); document.write( "so
\n" ); document.write( " $\"m+=+5%2F2\"$
\n" ); document.write( "---
\n" ); document.write( "now the slope between (3,7) and (10,t) must have the same slope to be colinear. Again, using the slope formula, we get
\n" ); document.write( " $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "and then
\n" ); document.write( " $\"%285%2F2%29+=+%28t-7%29%2F%2810-3%29\"$
\n" ); document.write( "we simplify to get
\n" ); document.write( " $\"%285%2F2%29+=+%28t-7%29%2F%287%29\"$
\n" ); document.write( "cross multiply to get
\n" ); document.write( " $\"35+=+2t+-+14\"$
\n" ); document.write( "adding 14 we get
\n" ); document.write( " $\"49+=+2t\"$
\n" ); document.write( "dividing by 2 we get
\n" ); document.write( " $\"t+=+49%2F2\"$ \n" ); document.write( "

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