Subject: Mathematics
Book: Maths Mastery
Slope measures the steepness of a line, calculated by m = (y₂ – y₁) ÷ (x₂ – x₁). If your points are (3, 2) and (7, 10), then slope m = (10 – 2) ÷ (7 – 3) = 8 ÷ 4 = 2. A positive slope indicates an upward trend, negative slope a downward trend, zero slope a horizontal line, and undefined slope a vertical line. Slope is core to linear equations, signifying a rate of change—like speed in distance-time graphs or cost per unit in economics. Gaining proficiency in slope calculations strengthens your understanding of linear relationships across diverse contexts.
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