Math Problem Statement

what coordinate is in the middle of the two points (2,8) and (-4,-4)

Solution

To find the midpoint between the points (2,8)(2, 8) and (4,4)(-4, -4), we use the midpoint formula:

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

Given the points (2,8)(2, 8) and (4,4)(-4, -4), the midpoint is calculated as follows:

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

=(22,42)= \left(\frac{-2}{2}, \frac{4}{2}\right)

=(1,2)= (-1, 2)

So, the coordinate in the middle of the two points is (1,2)(-1, 2).

Would you like more details or have any questions?

Here are some related questions:

  1. How do you determine the area of a triangle given three vertices?
  2. What is the distance between the points (2,8)(2, 8) and (4,4)(-4, -4)?
  3. How do you find the slope of the line passing through (2,8)(2, 8) and (4,4)(-4, -4)?
  4. What is the equation of the line passing through these two points?
  5. How do you find the coordinates of a point that divides a line segment in a given ratio?

Tip: When calculating midpoints, it's helpful to double-check each step, especially the signs of the coordinates.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry

Formulas

Midpoint formula

Theorems

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Suitable Grade Level

High School