AlgebraMedium
Linear functions
Understand and work with linear functions in multiple forms — slope-intercept, point-slope, and standard form.
Sample SAT Problem
A linear function f passes through (2, 5) and (4, 11). What is f(10)?
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Step-by-Step Solution
Slope = (11−5)/(4−2) = 3. Using point-slope: f(x) = 3x − 1. So f(10) = 29.
Key Tips from Pamela
- The slope is rise over run between any two points.
- y-intercept is where x = 0 — substitute to find it.
- Parallel lines have equal slopes; perpendicular lines have slopes that are negative reciprocals.
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