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Distance from (1, 4) to (7, 4)

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

Step by step

The question

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

(1, 4) and (7, 4)

1 Plot the points

Draw the grid.

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

and (7, 4).

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 = 1 to x = 7.

Take the smaller x 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 x = 1 and go 6 across.

1 plus 6 is 7.

We land on the other point!

1 + 6 = 7

Let's look back.

First: plot the points.

Then: count across.

Last: check.

Answer
d = 6

Your turn

Try this one yourself, then check:

Find the distance between (4, 4) and (10, 4)
Show the answer
d = 6

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