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Question
Find k if the line passing through points P(–12, –3) and Q(4, k) has slope \[\frac{1}{2}\].
Solution
Slope = \[\frac{1}{2}\]
Given points are P(–12, –3) and Q(4, k)
Slope of PQ =
\[\frac{k + 3}{4 + 12} = \frac{1}{2}\]
\[ \Rightarrow 2k + 6 = 16\]
\[ \Rightarrow 2k = 10\]
\[ \Rightarrow k = 5\]
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