Question

The endpoints of PQ are P(4, 1) and Q(4, 8). Find the midpoint of PQ

Answer 1

(4, 4.5)

Explanation:

We are given the following two end points of a line segment PQ and we are to find the coordinates of its mid point:

P (4, 1) and Q (4, 8)

We know the formula for the mid point:

Mid-point =
`( \frac {x_1 + x_2 } {2} , \frac {y_1 + y_2} {2} )`

Si substituting the given values in the above formula to get:

Mid-point of PQ =
`((4+4)/(2) , (1+8)/(2) ) = ((8)/(2) , (9)/(2)) =`

Mid point of PR = (4, 4.5)

Answer 2

(4, 4.5)

Explanation:

The midpoint of two points (x₁, y₁) and (x₂, y₂)is given by,

Midpoint = {(x₁+x₁)/2 ,(y₁+y₂)}

Now for the points given, P and Q, the midpoint is:

midpoint of PQ = {(4+4)/2, (1+8)/2}

= (8/2, 9/2)

= (4, 4.5)