Question

What are the coordinates of point B?

Answer 1

Point a is at (-2,4) => (x1,y1)

Midpoint is (2.5, 3.5) => (a,b)

Point B is (x2, y2)

To find midpoint we use formula

`(a=(x_1+x_2)/(2) , b= (y_1+y_2)/(2))`

a= 2.5, b= 3.5, x1= -2 and y1= 4

Plug in all the values and findout x2, y2

`(2.5=(-2+x_2)/(2) , 3.5= (4+y_2)/(2))`

multiply 2 on both sides to remove fraction

(5 = -2+x2 , 7 = 4+ y2)

5 = -2+x2, so x2= 7

7 = 4+ y2, so y2= 3

The point B is ( 7, 3)