Question

Mid-point of the line segment joining A(8,0) and B(0,-12) is

Answer 1

Answer:

joining a ). x=8, y = 0 and b). x=0 and y = -12 line segment .

Answer 2

Question: To find the midpoint of the linesegment joining the points A(8, 0) and B(0, -12).

Answer:

C(4, -6)

Step-by-step explanation:

Formula for finding the midpoint of a linesegment joining two points where M(x, y) is the midpoint is,

$\sf M(x,y) = \left(\dfrac{x_1 \ + \ x_2}{2} \ , \ \dfrac{y_1 \ + \ y_2}{2}\right)$

ATQ,

There is a linesegment AB, where the co-ordinates of A are (8,0), B are (0, -12), and we have to find its midpoint.

Here,

x₁ = 8

x₂ = 0

y₁ = 0

y₂ = -12

Let the midpoint be C(x, y). Therefore,

$\implies \sf C(x,y) = \left(\dfrac{x_1 \ + \ x_2}{2} \ , \ \dfrac{y_1 \ + \ y_2}{2}\right)$

$\implies \sf C(x,y) = \left(\dfrac{8 \ + \ 0}{2} \ , \ \dfrac{0 \ + \ (-12)}{2}\right)$

$\implies \sf C(x,y) = \left(\dfrac{8}{2} \ , \ \dfrac{-12}{2}\right)$

$\implies \sf C(x,y) = (4 , -6)$

∴ The coordinates of the midpoint of the linesegment AB is C(4, -6).