How do you find the missing coordinate if the 1st coordinate is (3,0) and the midpoint is (0,5)?

1 Answer
Jul 7, 2016

The other endpoint is at (-3,10)

Explanation:

The midpoint is in the middle of the line and is found from averaging the x-values and averaging the y values.
Let's call the missing coordinates of the other endpoint of the line (x_1, y_1)

Write equation to show how the midpoint was calculated in the first place.

(3+ x_1)/2 = 0 " and "(0+y_1)/2 = 5

3 + x_1 = 0 " "0+ y_1 = 10

x_1 = -3 " " y_1 = 10

The other endpoint is at (-3,10)