Question

Use a definition, postulate, or theorem to find the value desired. Point M is the midpoint between points A and B. If A(−5, 2) and B(−3, −6) find the location of M. M is located at the point

Answer 1

Point M is the midpoint between points A and B.

The points A and B are given as

`A(-5,2)\text{ and }B\left(-3,-6\right)`

To find the location of point M, we can use the definition of the midpoint of a line segment.

Midpoint:

In a line segment joining two points, the midpoint is the point which is equidistant from both endpoints.

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

Let us substitute the values of given points A and B into the above formula.

`M(x,y)=((-5-3)/(2),(2-6)/(2))=((-8)/(2),(-4)/(2))=(-4,-2)`

Therefore, M is located at the point (-4, -2)