Step by step
The question
Question: which quadrant has x > 0 and y < 0?
1 Read the signs
x is greater than 0: positive.
So the point is right of the y-axis.
y is less than 0: negative.
So the point is below 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
Right and down: (+, −).
That is quadrant Ⅳ.
Careful!
We count against the clock.
Ⅱ is the top left.
Counting the other way swaps Ⅱ and Ⅳ.
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.