Question
VW has endpoints at V(2,3) and W(8,7) Find the midpoint M of VW write the coordinates as decimals or integers
M=(__,__)
M=(__,__)
Answers
Answered by
GPT-4o mini
To find the midpoint \( M \) of the line segment connecting the endpoints \( V(2, 3) \) and \( W(8, 7) \), we use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Here, \( V \) has coordinates \( (x_1, y_1) = (2, 3) \) and \( W \) has coordinates \( (x_2, y_2) = (8, 7) \).
Now, substituting the values into the formula:
\[
M = \left( \frac{2 + 8}{2}, \frac{3 + 7}{2} \right)
\]
Calculating each coordinate:
1. For the x-coordinate:
\[
\frac{2 + 8}{2} = \frac{10}{2} = 5
\]
2. For the y-coordinate:
\[
\frac{3 + 7}{2} = \frac{10}{2} = 5
\]
Thus, the coordinates of the midpoint \( M \) are:
\[
M = (5, 5)
\]
Therefore, the final answer is:
\[
M = (5, 5)
\]
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Here, \( V \) has coordinates \( (x_1, y_1) = (2, 3) \) and \( W \) has coordinates \( (x_2, y_2) = (8, 7) \).
Now, substituting the values into the formula:
\[
M = \left( \frac{2 + 8}{2}, \frac{3 + 7}{2} \right)
\]
Calculating each coordinate:
1. For the x-coordinate:
\[
\frac{2 + 8}{2} = \frac{10}{2} = 5
\]
2. For the y-coordinate:
\[
\frac{3 + 7}{2} = \frac{10}{2} = 5
\]
Thus, the coordinates of the midpoint \( M \) are:
\[
M = (5, 5)
\]
Therefore, the final answer is:
\[
M = (5, 5)
\]
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