Question

use the coordinates to help with the question
Coordinate J(-6,7)
Coordinate K(4,2)
Does adding 7+2 and then dividing by 2 help you find the find midpoint of line segment JK
A. No because 7 should be added to 3, then multiplied by 2 to find the midpoint
B. Yes because (7+2) divided by 2 calculates the average, or midpoint, if the y-coordinates of points J and K.
C. Yes because (7+2) divided by 2 calculates the average, or midpoint, of the x-coordinates of points J and K
D. No because (7,2) is not the coordinate of point J or K

Answer 1

To find the midpoint of a line segment defined by two coordinates, you need to take the average of the x-coordinates and the average of the y-coordinates separately.

Given:
- Coordinate J(-6, 7)
- Coordinate K(4, 2)

### Midpoint Calculation
1. **X-coordinates**:
- \( x_J = -6 \)
- \( x_K = 4 \)
- Midpoint_x = \( \frac{x_J + x_K}{2} = \frac{-6 + 4}{2} = \frac{-2}{2} = -1 \)

2. **Y-coordinates**:
- \( y_J = 7 \)
- \( y_K = 2 \)
- Midpoint_y = \( \frac{y_J + y_K}{2} = \frac{7 + 2}{2} = \frac{9}{2} = 4.5 \)

So, the midpoint of line segment JK is \((-1, 4.5)\).

### Answer Choices:

A. No because 7 should be added to 3, then multiplied by 2 to find the midpoint.
**(Incorrect, this statement is not relevant to the calculations)**

B. Yes because (7+2) divided by 2 calculates the average, or midpoint, of the y-coordinates of points J and K.
**(Correct)**

C. Yes because (7+2) divided by 2 calculates the average, or midpoint, of the x-coordinates of points J and K.
**(Incorrect, this refers to y-coordinates, not x-coordinates)**

D. No because (7,2) is not the coordinate of point J or K.
**(Incorrect, the statement is misleading, while the coordinates are not correct, it does not address the midpoint calculation)**

The correct answer is **B.**