document.write( "Question 1089997:
\n" ); document.write( "HI! Can you please assist me with this problem. Thank you \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A line has a slope of 8 and includes the points (10,9) and (a,1). What is the value of a?
\n" ); document.write( "a=
\n" ); document.write( "

Algebra.Com's Answer #704419 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The points (10,9) and (a,1) can be thought of as (x1,y1) and (x2,y2) respectively.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "(x1,y1) = (10,9)
\n" ); document.write( "(x2,y2) = (a,1)
\n" ); document.write( "which means
\n" ); document.write( "x1 = 10, y1 = 9
\n" ); document.write( "x2 = a, y2 = 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The given slope is m = 8. Plug this m value and the x,y values discussed above, into the slope formula. Then solve for 'a'\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8+=+%281-9%29%2F%28a-10%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8+=+-8%2F%28a-10%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8%28a-10%29+=+%28-8%2F%28a-10%29%29%2A%28a-10%29\" Multiply both sides by (a-10)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8%28a-10%29+=+-8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8a-80+=+-8\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8a-80%2B80+=+-8%2B80\" Add 80 to both sides\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8a+=+72\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8a%2F8+=+72%2F8\" Divide both sides by 8 to isolate 'a'\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a+=+9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: a = 9
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );