Question

What is the midpoint of the segment shown below

Answer 1

Answer:  The midpoint of the given line segment is (5, 1).

Step-by-step explanation:  We are given to find the mid-point of the segment shown in the figure.

From the figure, we can see a line segment with co-ordinates of the endpoints (3, 4) and (7, -2).

We know that

The midpoint of a line segment with co-ordinates of the endpoints (a, b) and (c, d) is given by

$M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the co-ordinates of the midpoint of the given line segment will be

$M=\left(\dfrac{3+7}{2},\dfrac{4+(-2)}{2}\right)=\left(\dfrac{10}{2},\dfrac{2}{2}\right)=(5,1).$

Thus, the midpoint of the given line segment is (5, 1).

Answer 2

Midpoint = $( \frac{X2+X1}{2} , \frac{Y2+Y1}{2} )$

Plug in:

$( \frac{3+7}{2} , \frac{4+(-2)}{2} )$

Equals:

$( \frac{10}{2} , \frac{2}{2})$

Your answer is then:

(5, 1), your midpoint.