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Distance between (2, 3) and (9, 3)

Step by step, with the reason for every step · Distance between two points · Geometry

Step by step

The question

Question: find the distance between (2, 3) and (9, 3).

(2, 3) and (9, 3)

1 Plot the points

Draw the grid.

Put both points on the grid: (2, 3)

and (9, 3).

The distance is the length of this line.

We call it d.

2 Count across

The two points have the same y.

So the line is flat.

The distance is how far across: from x = 2 to x = 9.

Take the smaller x away from the bigger one.

d = 9 − 2

9 minus 2 is 7.

So d = 7.

d = 7

3 Check

Let's check: start at x = 2 and go 7 across.

2 plus 7 is 9.

We land on the other point!

2 + 7 = 9

Let's look back.

First: plot the points.

Then: count across.

Last: check.

Answer
d = 7

Your turn

Try this one yourself, then check:

Find the distance between (3, 1) and (6, 1)
Show the answer
d = 3

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