Question

Point ???? is the midpoint of ????C. Find the coordinates of ????:

a. ????(2, 3), ????(6, 10)
b. ????(−7, 5), ????(4, −9)

Answer 1

(a) Mid point will be (4,-6.5)

(B) Mid point will be (-1.5,2)

Explanation:

We have given points
`(x_1,y_1)=(2,3)` and
`(x_2,y_2)=(6,10)`

We have to find the mid point

Mid point is given by
`mid\ point=\left ( (x_1+x_2)/(2),(y_1+y_2)/(2) \right )=\left ( (2+6)/(2),(3+10)/(2) \right )=(4,6.5)`

(b) Points are given
`(x_1,y_1)=(-7,5)` and
`(x_2,y_2)=(4,-9)`

Mid point is given by
`mid\ point=\left ( (x_1+x_2)/(2),(y_1+y_2)/(2) \right )=\left ( ((-7+4)/(2),(5+(-9)/(2) \right )=(-1.5,2)`