Question

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

Answer 1

$\text {Mid point = } \bigg( \dfrac{x1 + x2}{2}, \dfrac{y1 + y2}{2} \bigg)$

The two points are A(6, -5) and B(-2, -11):

$\text {Mid point = } \bigg( \dfrac{6 - 2}{2}, \dfrac{-5 - 11}{2} \bigg)$

$\text {Mid point = } \bigg( 2, -8 \bigg)$

FInd p:

$\text {Mid point = } \bigg( 2, -8 \bigg) =\bigg( 2, p \bigg)$

Therefore p = -8

Answer: p = -8