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Distance (4, 1) (4, 7)

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

Step by step

The question

Question: find the distance between (4, 1) and (4, 7).

(4, 1) and (4, 7)

1 Plot the points

Draw the grid.

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

and (4, 7).

The distance is the length of this line.

We call it d.

2 Count up

The two points have the same x.

So the line goes straight up.

The distance is how far up: from y = 1 to y = 7.

Take the smaller y away from the bigger one.

d = 7 − 1

7 minus 1 is 6.

So d = 6.

d = 6

3 Check

Let's check: start at y = 1 and go 6 up.

1 plus 6 is 7.

We land on the other point!

1 + 6 = 7

Let's look back.

First: plot the points.

Then: count up.

Last: check.

Answer
d = 6

Your turn

Try this one yourself, then check:

Find the distance between (4, 4) and (4, 9)
Show the answer
d = 5

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