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If the distance between the points $(4, p)$ and $(1, 0)$ is 5, what is the value of $p$?
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$\sqrt{(4 - 1)^2 + (p - 0)^2} = 5$ (1 Mark)
$\Rightarrow 9 + p^2 = 25$ (1/2 Mark)
$\Rightarrow p = \pm 4$ (1/2 Mark)
$\Rightarrow 9 + p^2 = 25$ (1/2 Mark)
$\Rightarrow p = \pm 4$ (1/2 Mark)