Coordinate Plane Math Example 4

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Example 4

medium
Find the midpoint of the segment connecting (−2,4)(-2, 4) and (6,0)(6, 0).

Solution

  1. 1
    Midpoint formula: M=(x1+x22,y1+y22)M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right).
  2. 2
    M=(−2+62,4+02)=(2,2)M = \left(\frac{-2+6}{2}, \frac{4+0}{2}\right) = (2, 2).

Answer

(2,2)(2, 2)
The midpoint is the average of the xx-coordinates and the average of the yy-coordinates.

About Coordinate Plane

A two-dimensional surface formed by two perpendicular number lines — the horizontal xx-axis and the vertical yy-axis — intersecting at the origin (0,0)(0, 0). Every point on the plane is uniquely identified by an ordered pair (x,y)(x, y) giving its horizontal and vertical distances from the origin.

Learn more about Coordinate Plane →

More Coordinate Plane Examples

Example 1 easy

In which quadrant is the point [formula] located?

Example 2 medium

Find the distance between points [formula] and [formula].

Example 3 easy

Plot the point [formula]. Is it above or below the [formula]-axis?

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