If P(2, p) is the mid point of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2] Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent