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Which quadrant is (0, -5) in

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

Step by step

The question

Question: which quadrant is (0, −5) in?

(0, −5)

1 Read the signs

The first number is x.

It is 0.

So the point is on the y-axis: not left, not right.

x = 0 → on the y-axis

The second number is y.

−5 is negative.

So the point is below the x-axis.

y = −5 → −

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

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

A point on an axis is not inside any quadrant.

= (0, −) → on the y-axis

Careful!

(0, −5) is on the line between quadrant Ⅲ and quadrant Ⅳ.

So it is in neither of them.

Careful: on an axis → in no quadrant

4 Check

Let's check: plot it.

From 0, go down 5.

Put a dot.

The dot is on the y-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 (0, 4)
Show the answer
on the y-axis

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