Question

Find the midpoint of the segment below and enter its coordinates as an

Answer 1

Answer:

(-1/2,5)

Step-by-step explanation:

Here is the complete question

Find the midpoint of the segment with endpoints of (1, 4) and (-2, 6) and enter its coordinates as an ordered pair. If necessary, express coordinates as fractions, using the slash mark ( / ) for the fraction bar.

Solution

The mid-point of a line is given by ((x₁ + x₂)/2,(y₁ + y₂)/2). From the question, x₁ = 1, y₁ = 4, x₂ = -2 and y₂ = 6. So,

((x₁ + x₂)/2,(y₁ + y₂)/2) = ((1 + (-2))/2,(4 + 6)/2)

                                  = ((1 - 2)/2,10/2)

                                  = (-1/2,10/2)

                                  = (-1/2,5)