How do you find the midpoint of (5,-2), (3,-6)?
3 Answers
See the entire solution process below:
Explanation:
The formula to find the mid-point of a line segment give the two end points is:
Where
Substituting the values from the points in the problem gives:
Explanation:
The midpoint of a segment with endpoints:
So in this case the midpoint is:
The midpoint of (5 , -2), (3 , -6) is (4 , -4)
Explanation:
The midpoint formula is
For your points
From here all you need to do is substitute values.
(4 , -4)
To get a better understanding of this formula, remember that any number divided by 2 is the middle of that number. So what we are doing here is adding our points together and then dividing them by 2.
Here's a simple example:
What is the midpoint between (20 , 0) and (10 , 0)?
All I have to do is 20 + 10 = 30
and then divide by 2
(15 , 0)
I know this is the right answer because I can add and subtract the same number from my midpoint to return to my two original points. In this case that number is 5.
15 + 5 = 20
15 - 5 = 10