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Plot (3, -1) (-3, 1)

Step by step, with the reason for every step · Coordinate plane · Algebra 1

Step by step

The question

Question: plot (3, −1) and (−3, 1).

A (3, −1) B (−3, 1)

The first number is x.

It says left or right.

3 is positive, so we go right.

x = 3 → right 3

The second number is y.

It says up or down.

−1 is negative, so we go down.

y = −1 → down 1

1 Start at 0

Draw the grid.

The x-axis goes across.

The y-axis goes up and down.

They meet at 0.

That point is called the origin.

Start at 0, where the axes meet.

2 Plot A

A is (3, −1).

From 0, go right 3.

Then go down 1.

Put a dot here.

This is the point (3, −1).

3 Plot B

B is (−3, 1).

From 0, go left 3.

Then go up 1.

Put a dot here.

This is the point (−3, 1).

4 Check

Let's check.

From A, go straight up to the x-axis.

We meet 3.

Go straight across to the y-axis.

We meet −1.

So (3, −1) is right!

From B, go straight down to the x-axis.

We meet −3.

Go straight across to the y-axis.

We meet 1.

So (−3, 1) is right!

Let's look back.

First: start at 0.

Then: plot A.

Then: plot B.

Last: check.

Answer
A (3, −1) B (−3, 1)

Your turn

Try this one yourself, then check:

Plot A (2, −1) B (−2, 1)
Show the answer
right 2, down 1; left 2, up 1

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