document.write( "Question 936106: If the line passing through the points
\n" ); document.write( "(a, 1) and (1, 8)
\n" ); document.write( "is parallel to the line passing through the points
\n" ); document.write( "(12, 5) and (a + 2, 1),
\n" ); document.write( "what is the value of a?
\n" ); document.write( "a =
\n" ); document.write( "please show all work
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Algebra.Com's Answer #569583 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "If the line passing through the points
\n" ); document.write( "(a, 1) and (1, 8)
\n" ); document.write( "is parallel to the line passing through the points
\n" ); document.write( "(12, 5) and (a + 2, 1),
\n" ); document.write( "what is the value of a?
\n" ); document.write( "a =
\n" ); document.write( "please show all work
\n" ); document.write( "
Line with points (a, 1) and (1, 8) has slope: \"%288+-+1%29%2F%281+-+a%29\", or \"7%2F%281+-+a%29\"
\n" ); document.write( "Line with points (12, 5) and (a + 2, 1) has slope: \"%281+-+5%29%2F%28a+%2B+2+-+12%29\", or \"%28-+4%29%2F%28a+-+10%29\"
\n" ); document.write( "Since the lines are parallel, their slopes will be equal, and so:
\n" ); document.write( "\"7%2F%281+-+a%29+=+%28-+4%29%2F%28a+-+10%29\"
\n" ); document.write( "7(a – 10) = - 4(1 – a) ------ Cross-multiplying
\n" ); document.write( "7a – 70 = - 4 + 4a
\n" ); document.write( "7a – 4a = - 4 + 70
\n" ); document.write( "3a = 66
\n" ); document.write( "a = \"66%2F3\", or \"highlight_green%2822%29\"
\n" ); document.write( "You can do the check!!
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