Question

The midpoint AB is (1,2). The coordinates of A are (-3,6) Find the coordinates of B

Can someone help me with this exercise and show me the procedure of how to do it??

Answer 1

Answer:   (5, -2)

========================================================

Explanation:

We have these points

• A = (-3,6)
• M = midpoint = (1,2)
• B = (x,y)

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.