what's midpoint of (-2,2) and (6,4)

Question

midpoint of the line coordinates (-2,2) and (6,4)

Answer 1

Hi Jordan.

Okay, so finding the midpoint between two points in a coordinate system isn't as tough as it sounds. In fact, if you know how to find the average of two numbers you can do this easily! 

So let's take the points (-2,2) and (6,4)

1) You add the X values together and divide the result by 2: (-2+6)/2 = 4/2 = 2

2) You add the Y values together and divide the result by 2: (2+4)/2 = 6/2 = 3 

So the MIDPOINT is... (2,3) 

If you notice... basically the midpoint between two points is the AVERAGE of the X values of the points and the AVERAGE of the Y values of the points. 

Hope this helped.

-Tae 

Answer 2

Using the midpoint formula ((x₁+x₂)/2 , (y₁+y₂)/2) we get that the x coordinate of the midpoint is (-2+6)/2 = 2 and the y coordinate is (2+4)/2 = 3.

so the midpoint is the ordered pair (2,3)