document.write( "Question 206576This question is from textbook Longman mathematics for IGCSE Book1
\n" ); document.write( ": The line joining (-2,1) to (6,4), is parallel to the line joining (-q,5) to (4,q). Find the value of q.\r
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Algebra.Com's Answer #156119 by nerdybill(7384)\"\" \"About 
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The line joining (-2,1) to (6,4), is parallel to the line joining (-q,5) to (4,q). Find the value of q.
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\n" ); document.write( "First, find the slope of line:(-2,1) to (6,4)
\n" ); document.write( "m = (4-1)/(6-(-2))
\n" ); document.write( "m = 3/(6+2)
\n" ); document.write( "m = 3/8
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\n" ); document.write( "Slope of our new line: (-q,5) and (4,q)
\n" ); document.write( "m = (q-5)/(4-(-q))
\n" ); document.write( "m = (q-5)/(4+q)
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\n" ); document.write( "Slopes must be equal if they are parallel so set the two equations equal to each other:
\n" ); document.write( "3/8 = (q-5)/(4+q)
\n" ); document.write( "3(4+q) = 8(q-5)
\n" ); document.write( "12+3q = 8q-40
\n" ); document.write( "12 = 5q-40
\n" ); document.write( "52 = 5q
\n" ); document.write( "52/5 = q\r
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