Question

5. If P (2,a ) is the midpoint of the line segment joining the points A (6,-5) and B(-2, 11) find the value of
a.

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Answer 1

$\huge\mathfrak\red{Answer}$

$let \: two \: points \: (m \: n) \: and \: (c \: \: b) \\ (x \: \: y) \: be \: the \: midpoint \: of \: the \: \\ line \: joining \: these \: line \: given \: as \\ \\ x = \frac{m + c}{2} \\ y = \frac{n + b}{2} \\ \\ acc \: to \: your \: question \\ \\ x = 2 \\ y = a \\ m = 6 \\ n = - 5 \\ c= - 2 \\ b = 11 \\ \\ a = \frac{11 - 5}{2} (discussed) \: \\ \\ a = 3$