49.2k views
2 votes
Determine the coordinates of the midpoint of a segment with given endpoints. N(−4, 4), O(−2, 2) Midpoint: ( , )

1 Answer

4 votes

Final answer:

The midpoint of the segment with endpoints N(-4, 4) and O(-2, 2) is (-3, 3), calculated using the midpoint formula.

Step-by-step explanation:

The correct answer is option (-3, 3). To determine the coordinates of the midpoint of a segment with given endpoints N(-4, 4) and O(-2, 2), you would use the midpoint formula, which is ½(x1 + x2), ½(y1 + y2).

The x-coordinate of the midpoint is ½(-4 + -2), which is -3. The y-coordinate of the midpoint is ½(4 + 2), which is also 3. Therefore, the midpoint of the segment with endpoints N(-4, 4) and O(-2, 2) is (-3, 3).

The correct answer is option Mathematics, High School.

To find the coordinates of the midpoint of a segment with given endpoints, you can use the midpoint formula. The midpoint formula is:

M(x1 + x2) / 2, (y1 + y2) / 2

Using the coordinates of N(-4, 4) and O(-2, 2), we substitute the values into the formula to find:

M(-4 + -2) / 2, (4 + 2) / 2

M(-6) / 2, (6)/2

M-3, 3

User Jkasten
by
8.3k points

No related questions found