Graphs · On the grid · 2.1

Points on the axes.

A point on the x-axis has y = 0, like (5, 0). A point on the y-axis has x = 0, like (0, −3). The origin (0, 0) is on both. Axis points aren’t in any quadrant.

01 / THE IDEA

See it work.

Watch the method

Points on the axes

(5, 0) is on the x-axis; (0, −3) is on the y-axis.

1 / 1
-6-666(5, 0)
1

Read across, then up

Go 5 right (x), then 0 up (y).

(5, 0)(5,\, 0)
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.

A zero coordinate

If y = 0 the point is on the x-axis; if x = 0 it’s on the y-axis.

Why it works

(5, 0) sits right on the x-axis.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Name the coordinates of the plotted point.

1

Read across, then up

Go 6 left (x), then 0 up (y). (-6, 0)

EX 2medium

Name the coordinates of the plotted point.

1

Read across, then up

Go 5 right (x), then 0 up (y). (5, 0)

EX 3hard

Name the coordinates of the plotted point.

1

Read across, then up

Go 0 right (x), then 3 down (y). (0, -3)

04 / COMMON TRAPS

Where students slip.

Trap

Calling an axis point a quadrant point.

Fix

A 0 coordinate means it’s on an axis.

Trap

Mixing up which axis.

Fix

y = 0 → x-axis; x = 0 → y-axis.

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?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
C2

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
C3

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
C4

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
Apply

Apply (4)

A1

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
A2

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
A3

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
A4

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
Extension

Extension (4)

E1

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
E2

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
E3

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.
E4

Name the coordinates of the plotted point.

Need a hint?
  • Look for a 0 coordinate.
  • y = 0 is the x-axis; x = 0 is the y-axis.