In Exercises 19–30, find the midpoint of each line segment with t...

Question

In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-7/2, 3/2) and (-5/2, -11/2)

Accepted Answer

Hey everyone here we are asked to find the midpoint of the line segment which is bounded by the given endpoints of negative 9/4 and 13 4th. And the other end point is negative 23 4th and negative 21 4th. So now to find the midpoint, all we have to do is find the sum of the X and Y values and then divide them each by two. So beginning with our X values here, the X coordinate values. We have negative 9/4 and then we need to add our other X coordinate value which is negative 23 4th. And then we need to divide this sum by two. And now moving on to our y coordinate value. We have to take the some of the given endpoints for the Y values. So we have 13 4th plus negative 21 4th. And again we need to divide this sum by two. So now we just have to simplify here to find our midpoint coordinate point. So doing this, our X values here negative 9/4 plus negative 23 4th gives us negative eight. And then again this value is divided by two. And now for our y coordinate value we have 13 4th plus negative 21 4th which gives us negative two. And again this some here this some value of negative two gets divided by two. And now we just have to divide both of our terms by two here to finish up simplifying and we find that our midpoint contains the values of negative four for X and negative one for y. So now we have found our midpoint of our line segment and we are left with answer choice D. Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

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In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (-7/2, 3/2) and (-5/2, -11/2)