Which quadrants are (-3, 2), (0, -2) and (4, 4) in Step by Step

Step by step

The question

Question: which quadrants are A (−3, 2), B (0, −2) and C (4, 4) in?

A (−3, 2) B (0, −2) C (4, 4)

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, 2): x is negative, y is positive.

A: −, +

B is (0, −2): x is 0, y is negative.

B: 0, −

C is (4, 4): x is positive, y is positive.

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: left and up: (−, +).

That is quadrant Ⅱ.

= A (−, +) → quadrant II

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

A point on an axis is not inside any quadrant.

= B (0, −) → on the y-axis

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

That is quadrant Ⅰ.

= C (+, +) → quadrant I

So: A in quadrant Ⅱ, B is on the y-axis and C in quadrant Ⅰ.

= A: II, B: y-axis, C: I

Careful!

We count against the clock.

Ⅱ is the top left.

Counting the other way swaps Ⅱ and Ⅳ.

Careful: not A: IV ✗

4 Check

Let's check: plot them.

A: left 3, up 2.

It is in quadrant Ⅱ.

B: down 2.

It is on the y-axis.

C: right 4, up 4.

It is in quadrant Ⅰ.

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