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Plot (1, -4) (-2, 2)

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

Step by step

The question

Question: plot (1, −4) and (−2, 2).

A (1, −4) B (−2, 2)

The first number is x.

It says left or right.

1 is positive, so we go right.

x = 1 → right 1

The second number is y.

It says up or down.

−4 is negative, so we go down.

y = −4 → down 4

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 (1, −4).

From 0, go right 1.

Then go down 4.

Put a dot here.

This is the point (1, −4).

3 Plot B

B is (−2, 2).

From 0, go left 2.

Then go up 2.

Put a dot here.

This is the point (−2, 2).

4 Check

Let's check.

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

We meet 1.

Go straight across to the y-axis.

We meet −4.

So (1, −4) is right!

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

We meet −2.

Go straight across to the y-axis.

We meet 2.

So (−2, 2) is right!

Let's look back.

First: start at 0.

Then: plot A.

Then: plot B.

Last: check.

Answer
A (1, −4) B (−2, 2)

Your turn

Try this one yourself, then check:

Plot A (1, −6) B (−3, 3)
Show the answer
right 1, down 6; left 3, up 3

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