Use the following ordered pairs
X(-2,3)
Z(-6, -7)
If Y is the midpoint of XZ, find the ordered pair for Y.

Question

Answered

Answer :

absor201 absor201 · Answer 1 · 2019-12-07T09:13:50-05:00

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

[tex](x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})[/tex]

Putting the values

[tex]=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)[/tex]

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly