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