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7

6
A
10
432
B
NON
x
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
CON
A
What is the midpoint of line segment AB?

Enter your answer as a decimal if necessary.

1 answer

The coordinates of points A and B are given as follows:

  • Point A: \((7, 6)\)
  • Point B: \((10, 432)\)

To find the midpoint \( M \) of the line segment \( AB \), we use the midpoint formula:

\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

Substituting the coordinates of points A and B into the formula:

\[ M = \left( \frac{7 + 10}{2}, \frac{6 + 432}{2} \right) \]

Calculating the x-coordinate of the midpoint:

\[ \frac{7 + 10}{2} = \frac{17}{2} = 8.5 \]

Calculating the y-coordinate of the midpoint:

\[ \frac{6 + 432}{2} = \frac{438}{2} = 219 \]

Thus, the midpoint \( M \) of line segment \( AB \) is:

\[ M = (8.5, 219) \]

In summary, the midpoint of line segment AB is \( (8.5, 219) \).