In Exercises 105–106, find the midpoint of each line segment with...

Question

In Exercises 105–106, find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)

Accepted Answer

Welcome back. I'm so glad you're here. We want to find the midpoint of a line with these endpoints 40 and negative 15 negative three. Well we can start off we can label these endpoints as four can be X. One and zero can be Y. One and we can have negative 15. B. X. Two and negative three. B. Y. Two. And then we recall from previous lessons that our midpoint formula is going to be. It's going to look like a couple of it's going to look like our X. And Y values. It's going to be a point. So we're going to have X one plus X 2/2. That's our X. Value. And we're going to have Y. One plus Y. 2/2. That's our Y value. Now we can fill things in our X. One that was four plus our X. Two. That's negative 15 and are Y. One that's zero plus our Y. Two. That's negative three. Now we just add those numbers in our enumerators. So our midpoint is going to be four plus negative 15 is negative 11/2 for our X. Value. And our mid points Y value is going to be zero plus negative three. That's negative 3/2. And that's our midpoint. We look at our answer choices that's going to match with answer choice. B Well done. We'll catch you on the next one

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