Goal: master lines in the coordinate plane — slope, forms of a line, graphing, intercepts, and relationships (parallel/perpendicular) — and apply them in contexts.
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1. Intro: Two-Variable Linear Equations
Solutions as ordered pairs, tables, and quick plots; recognizing linearity; review of coordinate plane.
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2. Slope & Rate of Change
Slope from points, rise/run, positive/negative/zero/undefined slopes; interpreting units in context.
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3. Slope-Intercept Form: y = mx + b
Meaning of m and b, graphing from intercept form, building models from data.
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4. Point-Slope & Standard Forms
Using y − y₁ = m(x − x₁), converting among forms, finding intercepts from Ax + By = C.
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5. Parallel & Perpendicular Lines
Same slope vs. negative reciprocal slopes; constructing equations from constraints.
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6. Practice & Word Problems
Skill practice and modeling scenarios (motion, rates, costs, science data).
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