Função do 1º Grau – Conceito, Exemplo e Resumo

Overview

A short animation introduces the linear function $f(x)=ax+b$, highlights the roles of the slope $a$ and intercept $b$, walks through a concrete taxi‑fare example, and finishes with a concise summary of the key ideas.

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Phases

#	Phase Name	Duration	Description
1	Intro & Definition	~8s	Title appears, moves to top. General form $f(x)=ax+b$ fades in with colored coefficients and brief explanatory labels for $a$ and $b$.
2	Example Setup	~6s	Subtitle "Exemplo Prático" appears. Problem statement (fixed fare + per‑km charge) fades in, then shifts left to make room for the solution.
3	Step‑by‑Step Solution	~12s	The specific function $f(x)=2x+5$ is written, then transformed through the evaluation at $x=10$ (three successive steps). Final result is highlighted with a surrounding rectangle.
4	Conclusion & Summary	~9s	Old title fades, new summary title appears. Three bullet points fade in one by one, each emphasizing constant growth, fixed + variable parts, and the straight‑line graph.
5	Outro	~3s	All remaining objects fade out together.

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Layout

┌─────────────────────────────────────────────┐
│                 TOP AREA                    │
├──────────────────────┬──────────────────────┤
│                      │                      │
│      MAIN AREA       │   SUPPORT AREA       │
│  (formula, steps)    │ (labels, subtitles) │
│                      │                      │
├──────────────────────┴──────────────────────┤
│                BOTTOM AREA                 │
└─────────────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Top	Main title "Função do 1º Grau" (initial) and later the summary title.	Fades in, then moves to top edge; later replaced by summary title.
Main	Central visual: the algebraic formula, colored coefficients, and the step‑by‑step evaluation of the example.	Primary focus; objects appear centered, then shift left/right as needed.
Support	Subtitle "Exemplo Prático", problem description text, and explanatory labels for $a$ and $b$.	Appear beside or below the main formula; fade in/out with the corresponding phase.
Bottom	Optional brief caption (e.g., "f(x)=ax+b" label) or source note.	Small font, fades in with the intro and remains faintly visible.

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Notes

• All animations are kept concise; total runtime is approximately 38 seconds, well under the 30‑second guideline for each phase while still delivering the full narrative.
• Colors: $a$ in yellow, $b$ in green, final answer highlighted in orange.
• Transitions use simple fades, writes, and TransformFromCopy to emphasize the logical flow.
• No additional text is shown beyond what is necessary for comprehension; bullet points in the conclusion are the only textual list.
• The entire sequence fits within a single Manim Scene class.