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Visual explanation of slope and rate of change in linear equations, showing the formula y = mx + c and key components like gradient, slope, and y-intercept.

A hand-drawn educational diagram illustrating the concept of slope and rate of change in a linear equation y = mx + c, with labels for gradient, slope, y-intercept, and formulas for calculating slope as change in y over change in x or (y₁ - y₂)/(x₁ - x₂).

A hand-drawn educational diagram illustrating the concept of slope and rate of change in a linear equation y = mx + c, with labels for gradient, slope, y-intercept, and formulas for calculating slope as change in y over change in x or (y₁ - y₂)/(x₁ - x₂).

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Show Answer Key & Explanations Step-by-step solution for: Slope and Rate of Change
Final Answer:
The slope (or gradient) of a line is calculated as the change in y divided by the change in x, which can be written as (y₁ - y₂) / (x₁ - x₂). A positive slope means the line goes up from left to right, and a negative slope means it goes down.

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Parent Tip: Review the logic above to help your child master the concept of rate of change graph worksheet.
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