Question

Midpoint of line segment joining A (-2,8) and b (-6,-4) 1

Answer 1

Answer- The above question is from the chapter 'Coordinate Geometry'.

Concept used: Mid point formula:-

Let P (x, y) be the midpoint of a line joining A (x₁, y₁) and B (x₂, y₂).

Then, $x = \dfrac{x_{1} + x_{2}}{2} \: and \: y = \dfrac{y_{1} + y_{2}}{2}$ .

Given question: Find the midpoint of line segment joining A (-2,8) and B (-6,-4).

Solution: Let P (x, y) be the mid point of line joining A (2, 3) and B (4, 5).

$x = \dfrac{x_{1} + x_{2}}{2} \\\\x = \dfrac{-2 -6}{2}\\\\x = \dfrac{-8}{2}\\\\x = -4$

$y = \dfrac{y_{1} + y_{2}}{2}\\\\y = \dfrac{8 - 4}{2}\\\\y = \dfrac{4}{2}\\\\y = 2$

P (x, y) ⇒ P (-4, 2)

∴ P (-4, 2) is the mid point of line joining (-2, 8) and (-6, -4)​.

Answer 2

Answer:

(-4,2)

Step-by-step explanation:

by mid point therom