Question

In the standard (x,y) coordinate plane, the coordinates of the midpoint of AB⎯⎯⎯⎯⎯ are (6,8) and the coordinates of A are (3,2) . What are the coordinates of B ?

Answer 1

Explanation:

To find the coordinates of point B, you can use the midpoint formula:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given that the midpoint is (6, 8) and the coordinates of point A are (3, 2), you can plug in the values:

Midpoint = ((x1 + 3) / 2, (y1 + 2) / 2)

(6, 8) = ((x1 + 3) / 2, (y1 + 2) / 2)

Now, solve for x1 and y1:

x1 + 3 = 2 * 6

x1 + 3 = 12

x1 = 12 - 3

x1 = 9

y1 + 2 = 2 * 8

y1 + 2 = 16

y1 = 16 - 2

y1 = 14

So, the coordinates of point B are (9, 14).