What is how to find midpoint?

Finding the Midpoint

The midpoint of a line segment is the point that divides the segment into two equal parts. Here's how to find it:

1. On a Number Line:

• If you have two points on a number line, say a and b, the midpoint is found using the formula:

  • Midpoint = (a + b) / 2

2. In the Coordinate Plane:

• If you have two points in the coordinate plane, say (x₁, y₁) and (x₂, y₂), the midpoint is found using the Midpoint%20Formula:

  • Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

• In simpler terms, you average the x-coordinates and average the y-coordinates.

Example:

Let's say you have the points (2, 4) and (6, 8).

1. Average the x-coordinates: (2 + 6) / 2 = 4
2. Average the y-coordinates: (4 + 8) / 2 = 6

Therefore, the midpoint is (4, 6).

Key Concepts:

• The Midpoint is equidistant from both endpoints of the line segment.
• Understanding coordinate geometry is helpful for applying the midpoint formula in the coordinate plane.