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Linear growth

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Algebra and Trigonometry

Definition

Linear growth is a pattern of increase at a constant rate over equal intervals of time. It can be represented by the equation $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

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5 Must Know Facts For Your Next Test

  1. Linear growth results in a straight line when graphed on a coordinate plane.
  2. The rate of change (slope) in linear growth remains constant.
  3. In the equation $y = mx + b$, $m$ represents the constant rate of growth, and $b$ represents the starting value.
  4. Linear growth differs from exponential growth, which increases at an increasing rate.
  5. Real-world examples of linear growth include arithmetic sequences and uniform motion.

Review Questions

  • What is the general form of the equation that represents linear growth?
  • How does linear growth differ from exponential growth?
  • If given two points on a line that demonstrates linear growth, how would you calculate the slope?
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