find the midpoint of P(5,2) and Q(3,5)

asked by guest
on Nov 18, 2024 at 10:12 am



You asked:

Find the midpoint between the points \(\left(5, 2\right)\) and \(\left(3, 5\right)\).

MathBot Answer:

\( \left( 4, \frac{7}{2} \right) \) is the midpoint between \( \left( 5, 2 \right) \) and \( \left( 3, 5 \right) \) .

The midpoint between two points is the point \(M\), such that:

  • \(M\) is the same distance from each point
  • \(M\) lies on the line segment connecting the two points

The coordinates of the midpoint between the points \((x_1, x_2)\) and \((y_1, y_2)\) are given by the formula: \[ M = \left(\frac{x_1 + y_1}{2}, \frac{x_2 + y_2}{2}\right) \] The coordinates of the midpoint are: \[ M = \left( \frac{ 5 + 3 }{2}, \frac{ 2 + 5 }{2} \right) = \left( 4, \frac{7}{2} \right) \]


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