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

ANSWER

$(4 \frac{5}{8} , - 2\frac{3}{4} )$

EXPLANATION

The end points of the segment are:

$(5 \frac{1}{2} ,-4 \frac{1}{4} )$

and

$(3 \frac{3}{4} ,-1 \frac{1}{4} )$

The box represents the midpoint of the two points.

Using the midpoint formula;

$( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

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

$( \frac{5 \frac{1}{2} +3 \frac{3}{4} }{2} , \frac{ - 4 \frac{1}{?} + - 1 \frac{1}{4} }{2} )$

This simplifies to:

$( \frac{37}{8} , - \frac{11}{4} )$

We convert back to mixed numbers to get,

$(4 \frac{5}{8} , - 2\frac{3}{4} )$

The correct choice is B