Finding the Midpoint of a Line Segment

To find the midpoint of a line segment joining two points, we can use the midpoint formula. In this case, we are given the coordinates of point P(6,12) and the origin (0,0). We will use these coordinates to calculate the midpoint.

Midpoint Formula:
The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x₁, y₁) and (x₂, y₂) can be calculated as follows:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Given:
Point P(6,12) and the origin (0,0)

Step 1: Identify the coordinates of the endpoints
Point P: (x₁, y₁) = (6, 12)
Origin: (x₂, y₂) = (0, 0)

Step 2: Apply the midpoint formula
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
M = ((6 + 0) / 2, (12 + 0) / 2)

Step 3: Simplify the expression
M = (6 / 2, 12 / 2)
M = (3, 6)

Step 4: Interpret the result
The midpoint of the line segment joining point P(6,12) and the origin (0,0) is M(3,6).

Conclusion:
The midpoint of the line segment joining point P(6,12) and the origin (0,0) is M(3,6).

M(3,6) where M refers to coordinate of midpoint