Question

Find the midpoint of the line segment with end coordinates of:
(-4,-2) and (2,-10)

Answer 1

(-1,-6)

Explanation:

Recall the midpoint formula;

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

The end coordinates are; (-4,-2) and (2,-10).

Let

`(x_1=-4,y_1=-2)`

and

`(x_2=2,y_2=-10)`

We substitute the points to get:

`( ( - 4 + 2)/(2) , ( - 2 + - 10)/(2) )`

This simplifies to:

`( ( - 2)/(2) , ( - 12)/(2) )`

`( - 1 , - 6)`