Question

*m is the midpoint of segment in. c has coordinates (-3, -1) and m has coordinates (0,1). find the coordinates of n

Answer 1

m is the mid-point : (0,1)

c is one end : (-3, -1)

n is the other end : (x, y)

The formula for the midpoint of a line segment is : (
`( x_(1) + x_(2) )/(2)`,
`( y_(1) + y_(2))/(2)`)

Mid-point m : (
`(x + (-3))/(2) , (y + (-1))/(2)`)

(0, 1) : (
`((x -3))/(2) , ((y -1))/(2)`)

Thus,


`(x-3)/(2) = 0`

--- x = 3


`(y-1)/(2) = 1`

y -1 = 2

--- y = 3

The co-ordinate of n is (3,3)