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Which quadrant has x > 0 and y < 0

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

Step by step

The question

Question: which quadrant has x > 0 and y < 0?

x > 0, y < 0

1 Read the signs

x is greater than 0: positive.

So the point is right of the y-axis.

x > 0 → +

y is less than 0: negative.

So the point is below the x-axis.

y < 0 → −

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

Right and down: (+, −).

That is quadrant Ⅳ.

= (+, −) → quadrant IV

Careful!

We count against the clock.

Ⅱ is the top left.

Counting the other way swaps Ⅱ and Ⅳ.

Careful: not quadrant II ✗

4 Check

Let's check with a point that has these signs: (2, −3).

From 0, go right 2.

Then go down 3.

Put a dot.

The dot is in quadrant Ⅳ.

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: not quadrant II ✗

Your turn

Try this one yourself, then check:

Which quadrant has x < 0, y > 0
Show the answer
quadrant II

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