Question

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Part 1
Find the midpoint of the line segment joining the points ​(negative 5​,negative 1​) and ​(negative 7​,10​).
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Part 1
The midpoint is
  
enter your response here.
​(Simplify your answer. Type an ordered​ pair.)

Answer 1

To find the midpoint of the line segment joining the points \((-5, -1)\) and \((-7, 10)\), you can use the midpoint formula:

\[
\text{Midpoint} \left( M_x, M_y \right) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Here, \((x_1, y_1) = (-5, -1)\) and \((x_2, y_2) = (-7, 10)\).

Now, plug in the coordinates into the formula:

1. Calculate \(M_x\):
\[
M_x = \frac{-5 + (-7)}{2} = \frac{-5 - 7}{2} = \frac{-12}{2} = -6
\]

2. Calculate \(M_y\):
\[
M_y = \frac{-1 + 10}{2} = \frac{9}{2} = 4.5
\]

Combining these values, the midpoint is:

\[
\text{Midpoint} = (-6, 4.5)
\]

Thus, the final answer is:

\[
\boxed{(-6, 4.5)}
\]