Question

Find the midpoint of the line segment joining the points P₁ and P2-

P₁ = (k,b)
P₂ = (0,0)
M = 0
(Type an ordered pair.)

Answer 1

To find the midpoint of the line segment joining the points P₁ and P₂, where P₁ = (k, b) and P₂ = (0, 0), follow these steps:

1. Identify the coordinates of the two points: In this case, P₁ has coordinates (k, b) and P₂ has coordinates (0, 0).

2. Use the midpoint formula: The midpoint formula is given by the following equation: M = ((x₁ + x₂)/2, (y₁ + y₂)/2). Substitute the coordinates of P₁ and P₂ into this formula.

Calculation: M = ((k + 0)/2, (b + 0)/2) = (k/2, b/2)

3. Simplify the coordinates: The midpoint coordinates are given as (k/2, b/2).

Therefore, the midpoint of the line segment joining the points P₁ and P₂ is (k/2, b/2).

Explanation: