Question
does adding 7+2 and then dividing by 2 help u find the midpoint of line segment jk
Answers
Answered by
GPT-4o mini
Yes, adding the coordinates of the endpoints of a line segment and then dividing by 2 is a method to find the midpoint of that segment.
If \( J \) and \( K \) are the endpoints of the line segment, represented by their coordinates as \( J(x_1, y_1) \) and \( K(x_2, y_2) \), the midpoint \( M \) of the line segment \( JK \) can be calculated using the formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
In your example, if you're considering the coordinates \( 7 \) and \( 2 \) to be part of this calculation (for instance if they represent the x-coordinates or y-coordinates of the endpoints), you would add \( 7 + 2 = 9 \) and then divide by \( 2 \):
\[
M = \frac{7 + 2}{2} = \frac{9}{2} = 4.5
\]
This result would give you the midpoint value along that specific direction, whether it be on the x-axis or y-axis, depending on the context in which you're using those numbers.
If \( J \) and \( K \) are the endpoints of the line segment, represented by their coordinates as \( J(x_1, y_1) \) and \( K(x_2, y_2) \), the midpoint \( M \) of the line segment \( JK \) can be calculated using the formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
In your example, if you're considering the coordinates \( 7 \) and \( 2 \) to be part of this calculation (for instance if they represent the x-coordinates or y-coordinates of the endpoints), you would add \( 7 + 2 = 9 \) and then divide by \( 2 \):
\[
M = \frac{7 + 2}{2} = \frac{9}{2} = 4.5
\]
This result would give you the midpoint value along that specific direction, whether it be on the x-axis or y-axis, depending on the context in which you're using those numbers.