Question

find the mid point of the segment joining the points -6,7 and 3,5​

Answer 1

x = 3/2

y = 6

formula hai x1+x2/2 = x

y1+y2/2 = u

Answer 2

Let the point (-6, 7) be named A, and let the point (3, 5) be named B.

Let the midpoint of AB be named C(x, y).

The midpoint of a line segment is given by:

$\rm \Longrightarrow C(x, y) = \Bigg(\dfrac{x_1 + x_2}{2} , \dfrac{y_1 + y_2}{2} \Bigg)$

x₁ ➝ -6

x₂ ➝ 3

y₁ ➝ 7

y₂ ➝ 5

$\rm \Longrightarrow C(x, y) = \Bigg(\dfrac{-6 + 3}{2} , \dfrac{7 + 5}{2} \Bigg)$

$\rm \Longrightarrow C(x, y) = \Bigg(\dfrac{-3}{2} , \dfrac{12}{2} \Bigg)$

$\rm \Longrightarrow C(x, y) = \Bigg(\dfrac{-3}{2} , 6 \Bigg)$

Therefore, the midpoint of AB is C(-3/2, 6).