Problem 955

Find the midpoint of the segment with the given endpoint.

(-2,1) and (5,3)

Solution:-

To find the midpoint of the segment, use the midpoint formula.

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

If x₁ = -2 , then x₂ = 5.

If y₁ = 1, then y₂ = 3.

The coordinate of the midpoint are

$(\frac{-2+5}{2},\frac{1+3}{2})$

This simplifies to ( $\frac{3}{2},\frac{4}{2}$ ) or (1.5,2)

The coordinate of the midpoint are (1.5,2).