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If $(a, b)$ is the mid-point of the line segment joining the points $A(10, -6)$ and $B(k, 4)$ and $a - 2b = 18$, then find the value of $k$.
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$a = \frac{10+k}{2}$ ($1/2$ mark)
and $b = \frac{-6+4}{2} = -1$ ($1/2$ mark)
Given, $a - 2b = 18$
$\frac{10+k}{2} - 2(-1) = 18$ ($1$ mark)
$\Rightarrow k = 22$ ($1$ mark)
and $b = \frac{-6+4}{2} = -1$ ($1/2$ mark)
Given, $a - 2b = 18$
$\frac{10+k}{2} - 2(-1) = 18$ ($1$ mark)
$\Rightarrow k = 22$ ($1$ mark)