Find the value of a, for which point is the mid – point of the line segment joining the points Q( – 5,4) and R( – 1,0).

Question

Find the value of a, for which point  is the mid – point of the line segment joining the points Q( – 5,4) and R( – 1,0).

Philoid · Accepted Answer

Given: line segment joining the points Q( – 5,4) and R( – 1,0), and also given the mid – point of the line segment i.e.,

To find: the value of ‘a’.

Explanation: As it is given P is the midpoint of line QR, so the coordinates of P are

x – coordinate,

Here x₁ = – 5 and x₂ = – 1, so the above equation becomes

⇒ 2a = 3( – 6)

⇒ 2a =–18

⇒ a =–9

Hence the value of a is–9.