Question

Find the coordinates of the midpoint of the line segment with the endpoints C(1,0) and D(5,4)

Answer 1

Answer:

(3, 2 )

Step-by-step explanation:

Given the endpoints are (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) [

Here (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 4), thus

midpoint = [0.5(1 + 5), 0.5(0 + 4) ] = (0.5(6), 0.5(4)) = (3, 2 )

Answer 2

Answer:

(3,2)

Step-by-step explanation:

To find a midpoint of two given points, we can use the formula:

$(x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2} , \frac { y_{1} +y_{2}}{2})$

(i.e. we just take the average of the x coordinates, and similarly, the average of the y coordinates).

so we get:

midpoint =  ( (1+5)/2, (0+4)/2 )

               =   (3, 2)