Question

Question content area top
Part 1
Find the midpoint of the line segment joining points A and B.
Upper A left parenthesis 4 comma negative 7 right parenthesis​; Upper B left parenthesis 6 comma 3 right parenthesis
Question content area bottom
Part 1
The midpoint of the line segment is
  
enter your response here. ​(Type an ordered​ pair.)

Answer 1

To find the midpoint \( M \) of the line segment joining the points \( A(4, -7) \) and \( B(6, 3) \), you can use the midpoint formula:

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

where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points \( A \) and \( B \).

Plugging in the coordinates of points \( A \) and \( B \):

\[
M = \left( \frac{4 + 6}{2}, \frac{-7 + 3}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{4 + 6}{2} = \frac{10}{2} = 5
\]

Calculating the y-coordinate:

\[
\frac{-7 + 3}{2} = \frac{-4}{2} = -2
\]

So, the midpoint \( M \) is:

\[
M = (5, -2)
\]

Thus, the midpoint of the line segment joining points \( A \) and \( B \) is \( \boxed{(5, -2)} \).