Learning pack · IGCSE handout

Straight Line Graphs

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Straight-line graphs encode gradient and intercept. Parallel lines share $m$ ; perpendicular lines have $m_1 m_2=-1$ .

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (6)📖 Full summary

Files: 22_straight-line_graphs_handout.pdf · 22_straight-line_graphs_handout_answers.pdf

Full topic summary

Straight-line graphs encode gradient and intercept. Parallel lines share $m$ ; perpendicular lines have $m_1 m_2=-1$ .

Key learning points

Form $y=mx+c$ ; also $ax+by+c=0$ rearranged.
Find equations from two points or a point and gradient.
Horizontal lines $y=k$ ; vertical $x=k$ (undefined gradient).

Worked example 1 — Equation from gradient and point

Gradient $2$ , through $(0,3)$ . Equation?

Working

y=2x+3

$y=mx+c$ .

Worked example 2 — Parallel

Parallel to $y=3x-1$ through $(0,5)$ ?

Working

y=3x+5

Same gradient.

Worked example 3 — From two points

Points $(0,1)$ and $(2,7)$ . Equation?

Working

y=3x+1

Find $m$ , then $c$ .

🎬 Topic videos

Matt Explains: Binomial Coefficients [featuring: choose function, pascal's triangle]
Stand-up Maths · 12 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Beautiful Visual Explanation of Completing the Square
Eddie Woo · 4 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Why do all random graphs end up identical?
Stand-up Maths · 22 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Basic Linear Functions - Math Antics
Math Antics · 13 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Function Notation
Eddie Woo · 10 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Introduction to Coordinate Geometry (1 of 2: The Cartesian Plane)
Eddie Woo · 12 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

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Browse the hub Learning Packs & Summary, or open the compact Straight Line Graphs summary.