Math Problem Statement

It's negative 2

Solution

Thank you for pointing that out! Let's correct the calculation with the updated coordinates.

The correct points given are A(2,3)A(-2, 3) and B(4,8)B(4, 8).

Using the midpoint formula again:

Midpoint=(x1+x22,y1+y22)\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)

Substituting the correct values:

Midpoint=(2+42,3+82)\text{Midpoint} = \left( \frac{-2 + 4}{2}, \frac{3 + 8}{2} \right)

Midpoint=(22,112)\text{Midpoint} = \left( \frac{2}{2}, \frac{11}{2} \right)

Midpoint=(1,5.5)\text{Midpoint} = (1, 5.5)

So, the correct midpoint between points A(2,3)A(-2, 3) and B(4,8)B(4, 8) is (1,5.5)(1, 5.5).

Would you like more details or have any other questions?

Here are 8 related questions to explore further:

  1. What happens to the midpoint if both points are shifted equally in the coordinate plane?
  2. How do you find the distance between two points using the distance formula?
  3. How does the slope of a line relate to the points used in the midpoint formula?
  4. Can the midpoint formula be applied to vectors?
  5. How would you find the point that divides a line segment in a given ratio other than 1:1?
  6. What is the geometric significance of the midpoint in a circle?
  7. How do you derive the equation of a line given the midpoint and one endpoint?
  8. What is the difference between the midpoint formula and the centroid formula for triangles?

Tip: When checking coordinates, it's essential to ensure all values are correctly interpreted to avoid any miscalculations in your results.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Midpoint Formula

Formulas

Midpoint formula

Theorems

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Suitable Grade Level

Grades 7-9