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Question

The slope of a line joining P(6,k) and Q(13k,3) is 12. Find: |k|

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Solution

Let P(6,k)=(x1,y1) and Q(13k,3)=(x2,y2)
Slope of PQ=y2y1x2x1
3k13k6=12
62k=53k
11=k
k=11
|k|=11

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