Steply

Coordinate plane

Plotting points · Algebra 1 · 20 problems, easy to harder

▶ Watch the first one solved

How we do it

  1. Start at 0
  2. Go right 3
  3. Go up 2
  4. Check

The steps for Plot (3, 2). Every solution names its steps, so you always know what comes next.

Worked examples

Plot (3, 2) Easy

The question

Question: plot (3, 2).

(3, 2)

The first number is x.

It says left or right.

3 is positive, so we go right.

x = 3 → right 3

The second number is y.

It says up or down.

2 is positive, so we go up.

y = 2 → up 2

1 Start at 0

Draw the grid.

The x-axis goes across.

The y-axis goes up and down.

They meet at 0.

That point is called the origin.

Start at 0, where the axes meet.

2 Go right 3

x is 3.

From 0, go right 3.

3 Go up 2

Then go up 2.

Put a dot here.

This is the point (3, 2).

4 Check

Let's check.

From the dot, go straight down to the x-axis.

We meet 3.

Go straight across to the y-axis.

We meet 2.

So (3, 2) is right!

Let's look back.

First: start at 0.

Then: go right 3.

Then: go up 2.

Last: check.

Answer
(3, 2)

▶ Watch it solved

Plot (2, 3) (-3, -1) Medium

The question

Question: plot (2, 3) and (−3, −1).

A (2, 3) B (−3, −1)

The first number is x.

It says left or right.

2 is positive, so we go right.

x = 2 → right 2

The second number is y.

It says up or down.

3 is positive, so we go up.

y = 3 → up 3

1 Start at 0

Draw the grid.

The x-axis goes across.

The y-axis goes up and down.

They meet at 0.

That point is called the origin.

Start at 0, where the axes meet.

2 Plot A

A is (2, 3).

From 0, go right 2.

Then go up 3.

Put a dot here.

This is the point (2, 3).

3 Plot B

B is (−3, −1).

From 0, go left 3.

Then go down 1.

Put a dot here.

This is the point (−3, −1).

4 Check

Let's check.

From A, go straight down to the x-axis.

We meet 2.

Go straight across to the y-axis.

We meet 3.

So (2, 3) is right!

From B, go straight up to the x-axis.

We meet −3.

Go straight across to the y-axis.

We meet −1.

So (−3, −1) is right!

Let's look back.

First: start at 0.

Then: plot A.

Then: plot B.

Last: check.

Answer
A (2, 3) B (−3, −1)

▶ Watch it solved

Plot (-6, -4) Harder

The question

Question: plot (−6, −4).

(−6, −4)

The first number is x.

It says left or right.

−6 is negative, so we go left.

x = −6 → left 6

The second number is y.

It says up or down.

−4 is negative, so we go down.

y = −4 → down 4

1 Start at 0

Draw the grid.

The x-axis goes across.

The y-axis goes up and down.

They meet at 0.

That point is called the origin.

Start at 0, where the axes meet.

2 Go left 6

x is −6.

From 0, go left 6.

3 Go down 4

Then go down 4.

Put a dot here.

This is the point (−6, −4).

4 Check

Let's check.

From the dot, go straight up to the x-axis.

We meet −6.

Go straight across to the y-axis.

We meet −4.

So (−6, −4) is right!

Let's look back.

First: start at 0.

Then: go left 6.

Then: go down 4.

Last: check.

Answer
(−6, −4)

▶ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. plot (3, 2)
    Answer
    (3, 2)
  2. plot (-1, 4)
    Answer
    (−1, 4)
  3. plot (2, -3)
    Answer
    (2, −3)
  4. plot (-4, -2)
    Answer
    (−4, −2)
  5. plot (0, -3)
    Answer
    (0, −3)
  6. plot (5, 0)
    Answer
    (5, 0)
  7. plot (0, 0)
    Answer
    (0, 0)
  8. plot (-2, 5)
    Answer
    (−2, 5)
  9. plot (4, 1)
    Answer
    (4, 1)
  10. plot (-3, 0)
    Answer
    (−3, 0)

Medium

  1. plot (2, 3) (-3, -1)
    Answer
    A (2, 3) B (−3, −1)
  2. plot (1, -4) (-2, 2)
    Answer
    A (1, −4) B (−2, 2)
  3. plot (0, 4) (4, 0)
    Answer
    A (0, 4) B (4, 0)
  4. plot (-5, 3) (3, -5)
    Answer
    A (−5, 3) B (3, −5)
  5. plot (6, 2) (-1, -6)
    Answer
    A (6, 2) B (−1, −6)
  6. plot (-2, -3) (2, 3)
    Answer
    A (−2, −3) B (2, 3)
  7. plot (3, -1) (-3, 1)
    Answer
    A (3, −1) B (−3, 1)
  8. plot (1, 5) (5, 1)
    Answer
    A (1, 5) B (5, 1)

Harder

  1. plot (-6, -4)
    Answer
    (−6, −4)
  2. plot (0, -6) (-6, 0)
    Answer
    A (0, −6) B (−6, 0)