Midpoint (-6, -2) (2, 4) Step by Step

Step by step

The question

Question: find the midpoint of (−6, −2) and (2, 4).

(−6, −2) and (2, 4)

1 Plot the points

Draw the grid.

Put both points on the grid: (−6, −2)

and (2, 4).

Join them with a straight line.

We want its middle.

2 Middle of the x's

The midpoint is halfway across.

Halfway between two numbers: add them, then divide by 2.

x = −6 + 22

−6 plus 2 is −4.

x = −42

−4 divided by 2 is −2.

So x = −2.

x = −2

3 Middle of the y's

Now the y's: the same.

Add them, then divide by 2.

y = −2 + 42

−2 plus 4 is 2.

y = 22

2 divided by 2 is 1.

So y = 1.

y = 1

4 The midpoint

So the midpoint is M = (−2, 1).

M = (−2, 1)

Put M on the grid.

It sits on the line, right in the middle.

5 Check

Let's check on the grid.

From (−6, −2) to M:

we go right 4, up 3.

(−6, −2) → M: right 4, up 3

From M to the other point:

we go right 4, up 3.

The same moves.

So M is exactly in the middle!

M → (2, 4): right 4, up 3

Let's look back.

First: plot the points.

Then: middle of the x's.

Then: middle of the y's.

Then: the midpoint.

Last: check.

Answer