Question

What is the midpoint of the line segment with endpoints (3.5, 2.2) and (1.5, –4.8)?

Answer 1

X₁ + X₂ / 2 & Y₁ + Y₂ / 2 ------------- This is the formula to plug in the coordinates.


3.5 + 1.5 / 2= 2.5 2.2 + (-4.8) / 2= -1.3

Answer = (2.5,-1.3)

Answer 2

A midpoint is a point on a line segment that divide the segment into two equal segments.

Formula for finding midpoint with any two endpoints is;

`(x, y) = ((x_1+x_2)/(2) , (y_1+y_2)/(2) )`

Given two end points:

(3.5 , 2.2) and (1.5 , -4.8).

Let P(x, y) be the midpoint of (3.5 , 2.2) and (1.5 , -4.8).

By midpoint formula we have;

`(x, y) = ((3.5+1.5)/(2) , (2.2-4.8)/(2) )`

`(x, y) = ((5)/(2) , -(2.6)/(2) )`

Simplify:

`(x, y) = (2.5 , -1.3)`

Therefore, the midpoint of the line segment with given endpoints is, (2.5, -1.3)