Step by step
The question
Question: which quadrant is (−2, −5) in?
(−2, −5)
1 Read the signs
The first number is x.
−2 is negative.
So the point is left of the y-axis.
x = −2 → −
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
Left and down: (−, −).
That is quadrant Ⅲ.
= (−, −) → quadrant III
4 Check
Let's check: plot it.
From 0, go left 2.
Then go down 5.
Put a dot.
The dot is in quadrant Ⅲ.
So the answer is right!
Let's look back.
First: read the signs.
Then: name the quadrants.
Then: find the quadrant.
Last: check.
Answer
= (−, −) → quadrant III