Steply

Where is (-3, 0)

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

Step by step

The question

Question: which quadrant is (−3, 0) in?

(−3, 0)

1 Read the signs

The first number is x.

−3 is negative.

So the point is left of the y-axis.

x = −3 → −

The second number is y.

It is 0.

So the point is on the x-axis: not up, not down.

y = 0 → on the x-axis

2 Name the quadrants

Draw the grid.

The two axes cut it into four parts.

Each part is called a quadrant.

3 Find the quadrant

y is 0, so the point is on the x-axis.

A point on an axis is not inside any quadrant.

= (−, 0) → on the x-axis

Careful!

(−3, 0) is on the line between quadrant Ⅱ and quadrant Ⅲ.

So it is in neither of them.

Careful: on an axis → in no quadrant

4 Check

Let's check: plot it.

From 0, go left 3.

Put a dot.

The dot is on the x-axis, not inside a quadrant.

So the answer is right!

Let's look back.

First: read the signs.

Then: name the quadrants.

Then: find the quadrant.

Last: check.

Answer
Careful: on an axis → in no quadrant

Your turn

Try this one yourself, then check:

Which quadrant is (2, 0)
Show the answer
on the x-axis

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