Question

Find the coordinates of the midpoint of the line segment joining

A(3, 0) and B(–5, 4)

Answer 1

The given points are A(3,0) and B(-5, 4)

Let  ( x,y) be the midpoint of AB. Then :

` x= (x_1 +x_2)/2 , y = (y_1+y_2)/2`

` ⇒ x = (3+(-5))/2 , y = (0+4) /2 `

`⇒ x =(-2)/2 , y = 4/2 `

⇒ x = -1 , y=2

Therefore, (-1,2)  are the coordinates of midpoint of AB.