CONCEPT PREVIEW Fill in the blank(s) to correctly complete each s...

Question

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.

The midpoint of the segment joining (0, 0) and (4, 4) is ________.

Accepted Answer

Hey, everyone. Here, we are asked to find the midpoint of the line segment which extends from the 0.0 and five to the 0.8 and 33. Here we have four answer choice options, answer choice, A, the ordered pair four and 21. Answer B two and 33 divided by five, answer C four and 19 and answer D four and the square root of 53. So before we identify the midpoint, we need to recall the midpoint formula which states that midpoint M is equivalent to the ordered pair where the X coordinate is X sub one plus X sub two, all divided by two. And the Y coordinate is Y sub one plus Y sub two, all divided by two. And now utilizing this formula, we can plug in our given values to find the midpoint. So we have the midpoint M is equivalent to. And now for the X coordinate, we just have to sum our given X values and divide them by two, two. So we have zero plus eight all divided by two. And similarly for the Y coordinate, we now sum the Y values and divide them by two. So here we have five plus 33 all divided by two. And now we just need to start simplifying by first summing the values in the numerators. So in our X coordinate, we have eight divided by two. And in the Y coordinate, we have 38 divided by two. And now we need to simplify further by performing division in both coordinates. So we find that the midpoint M simplifies and 19. And with our final simplified ordered pair, we are left with answer choice C where again our midpoint is the ordered pair four and 19. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The midpoint of the segment joining (0, 0) and (4, 4) is ________.