Question

Write the following coordinates where they belong in the line segments below. (5 1/2, -4 1/4) _______ (3 3/4, -1 1/4)

Answer 1

`(4 (5)/(8) , - 2(3)/(4) )`

Step-by-step explanation

The end points of the segment are:

`(5 (1)/(2) ,-4 (1)/(4) )`

and

`(3 (3)/(4) ,-1 (1)/(4) )`

The box represents the midpoint of the two points.

Using the midpoint formula;

`( (x_1+x_2)/(2) , (y_1+y_2)/(2) )`

We substitute the end points of the line segment to obtain,

`( (5 (1)/(2) +3 (3)/(4) )/(2) , ( - 4 (1)/(?) + - 1 (1)/(4) )/(2) )`

This simplifies to:

`( (37)/(8) , - (11)/(4) )`

We convert back to mixed numbers to get,

`(4 (5)/(8) , - 2(3)/(4) )`

The correct choice is B