Midpoint (4, 1) (4, 9)

Step by step

The question

Question: find the midpoint of (4, 1) and (4, 9).

1 Plot the points

Draw the grid.

Put both points on the grid: (4, 1)

and (4, 9).

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.

4 plus 4 is 8.

8 divided by 2 is 4.

So x = 4.

3 Middle of the y's

Now the y's: the same.

Add them, then divide by 2.

1 plus 9 is 10.

10 divided by 2 is 5.

So y = 5.

4 The midpoint

So the midpoint is M = (4, 5).

Put M on the grid.

It sits on the line, right in the middle.

5 Check

we go up 4.

we go up 4.

The same moves.

So M is exactly in the middle!

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.