Which quadrants are (3, 5), (-2, -4) and (5, -1) in Step by Step

Step by step

The question

Question: which quadrants are A (3, 5), B (−2, −4) and C (5, −1) in?

A (3, 5) B (−2, −4) C (5, −1)

1 Read the signs

The first number is x.

The second is y.

We only need their signs.

x first, y second

A is (3, 5): x is positive, y is positive.

A: +, +

B is (−2, −4): x is negative, y is negative.

B: −, −

C is (5, −1): x is positive, y is negative.

C: +, −

2 Name the quadrants

Draw the grid.

The two axes cut it into four parts.

Each part is called a quadrant.

3 Find the quadrants

A: right and up: (+, +).

That is quadrant Ⅰ.

= A (+, +) → quadrant I

B: left and down: (−, −).

That is quadrant Ⅲ.

= B (−, −) → quadrant III

C: right and down: (+, −).

That is quadrant Ⅳ.

= C (+, −) → quadrant IV

So: A in quadrant Ⅰ, B in quadrant Ⅲ and C in quadrant Ⅳ.

= A: I, B: III, C: IV

Careful!

We count against the clock.

Ⅱ is the top left.

Counting the other way swaps Ⅱ and Ⅳ.

Careful: not C: II ✗

4 Check

Let's check: plot them.

A: right 3, up 5.

It is in quadrant Ⅰ.

B: left 2, down 4.

It is in quadrant Ⅲ.

C: right 5, down 1.

It is in quadrant Ⅳ.

Every dot is where we said.

So the answer is right!

Let's look back.

First: read the signs.

Then: name the quadrants.

Then: find the quadrants.

Last: check.

Answer