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Dima020 [189]
2 years ago
6

A line segment has endpoints of (-2,6) and

Mathematics
1 answer:
lys-0071 [83]2 years ago
8 0

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

  • Endpoint₁: (-2, 6)
  • Endpoint₂: (-4, -9)

\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}

Substitute the endpoints of the line segment in the midpoint:

\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text]

Simplify the coordinates in the midpoint:

\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text]

Thus, the coordinate of the midpoint is (-3, -1.5)

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