Questions: What is the midpoint of the points (2, 4) and (-5, 5)?

What is the midpoint of the points (2, 4) and (-5, 5)?
Transcript text: What is the midpoint of the points (2, 4) and (-5, 5)?
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Solution

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Solution Steps

Step 1: Identify the Given Points

The given points are \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (-5, 5)\).

Step 2: Apply the Midpoint Formula

The midpoint \((x_m, y_m)\) of two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formulas:

  • \(x_m = \frac{x_1 + x_2}{2}\)
  • \(y_m = \frac{y_1 + y_2}{2}\) Substituting the given values, we get
  • \(x_m = \frac{2 - 5}2 = -2\)
  • \(y_m = \frac{4 + 5}2 = 4\).

Final Answer:

The midpoint of the points \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (-5, 5)\) is \((x_m, y_m) = (-2, 4)\).

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