<PRE><B>Question 206576</B>
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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First, find the slope of line:(-2,1) to (6,4)
m = (4-1)/(6-(-2))
m = 3/(6+2)
m = 3/8
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Slope of our new line: (-q,5) and (4,q)
m = (q-5)/(4-(-q))
m = (q-5)/(4+q)
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Slopes must be equal if they are parallel so set the two equations equal to each other:
3/8 = (q-5)/(4+q)
3(4+q) = 8(q-5)
12+3q = 8q-40
12 = 5q-40
52 = 5q
52/5 = q


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