Question

How do you find the missing coordinate given one point A(2,8) and the midpoint M(5,4)?

Answer 1

B(8,0)

Explanation:

Subtract the point A x-coordinate from the midpoint x-coordinate (final-initial) to find the distance between them. This will give you 3. Multiply the by 2 because the midpoint is halfway between point A and B. This will give you 6. Add six to point A's x-coordinate and this will give you 8. Do the same process with the y-coordinates to get 0, but be careful of the negative.

Answer 2

The other point is at `(8,0)`

Explanation:

You can substitute the values you have into the midpoint formula:

The midpoint is
"the average of the x-values and the average of the y-values"

`((x_1+x_2)/2, (y_1+y_2)/2) = M(x,y)`

`(2+x_2)/2 = 5color(white)(............)and" " (8+y_2)/2 = 4`

`2+x_2= 10color(white)(................................)8+y_2= 8`

`x_2 = 8color(white)(..............................................)y_2 = 0`

The other point is at `(8,0)`