Graphs · The coordinate plane · 1.3

Name a point.

To name a plotted point, read how far across (x) and how far up or down (y) it is from the origin, and write the ordered pair (x, y).

01 / THE IDEA

See it work.

Watch the method

Name a point

A point 4 right and 3 down is (4, −3).

1 / 1
-6-666(4, -3)
1

Read across, then up

Go 4 right (x), then 3 down (y).

(4,3)(4,\, -3)
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type (x, y), e.g. (3, -2).

streak 0
best 0
-6-666
Your answer:
— / WHY IT WORKS

The idea underneath.

Read it back

Drop straight down to the x-axis for x, across to the y-axis for y; write (x, y).

Why it works

4 right, 3 down → (4, −3).

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Name the coordinates of the plotted point.

1

Read across, then up

Go 1 left (x), then 6 up (y). (-1, 6)

EX 2medium

Name the coordinates of the plotted point.

1

Read across, then up

Go 3 right (x), then 3 down (y). (3, -3)

EX 3hard

Name the coordinates of the plotted point.

1

Read across, then up

Go 5 right (x), then 3 up (y). (5, 3)

04 / COMMON TRAPS

Where students slip.

Trap

Writing (y, x).

Fix

Always (x, y) — across first.

Trap

Getting a sign wrong.

Fix

Left and down are negative.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
C2

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
C3

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
C4

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
Apply

Apply (4)

A1

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
A2

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
A3

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
A4

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
Extension

Extension (4)

E1

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
E2

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
E3

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).
E4

Name the coordinates of the plotted point.

Need a hint?
  • Find how far across (x).
  • Find how far up/down (y).