Question
Find the midpoint of the line segment with the given endpoints. \( (-2,-9) \) and \( (-8,-4) \) The midpoint is \( \square \). (Type an ordered pair.)
Ask by Peters Mathis. in the United States
Dec 06,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The midpoint is \((-5, -6.5)\).
Solution
To find the midpoint of a line segment with endpoints \((-2, -9)\) and \((-8, -4)\), we use the midpoint formula:
\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Here, \((x_1, y_1) = (-2, -9)\) and \((x_2, y_2) = (-8, -4)\).
Now, we can calculate the midpoint:
1. Calculate the x-coordinate of the midpoint:
\[
\frac{-2 + (-8)}{2} = \frac{-2 - 8}{2} = \frac{-10}{2} = -5
\]
2. Calculate the y-coordinate of the midpoint:
\[
\frac{-9 + (-4)}{2} = \frac{-9 - 4}{2} = \frac{-13}{2} = -6.5
\]
Putting it all together, the midpoint is:
\[
\left(-5, -6.5\right)
\]
Thus, the midpoint is \(\boxed{(-5, -6.5)}\).
Reviewed and approved by the UpStudy tutoring team
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To find the midpoint of the line segment with endpoints \((-2,-9)\) and \((-8,-4)\), you can use the midpoint formula, which is given by: \[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Plugging in the values: \[ x_1 = -2, \quad y_1 = -9, \quad x_2 = -8, \quad y_2 = -4 \] Calculating the x-coordinate of the midpoint: \[ \frac{-2 + (-8)}{2} = \frac{-10}{2} = -5 \] Calculating the y-coordinate of the midpoint: \[ \frac{-9 + (-4)}{2} = \frac{-13}{2} = -6.5 \] Therefore, the midpoint is \((-5, -6.5)\). The midpoint is \((-5, -6.5)\).