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Determining Slope and Y-Intercept

Practice determining slope and y-intercept by completing tables, graphing equations, and understanding the relationship between rate of change and initial value. Explore how to find the initial value from the rate of change and its connection to the y-intercept. Derive an equation with slope passing through the origin, compare it to a proportional relationship equation, and analyze the connection between slope m and constant k.

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Determining Slope and Y-Intercept

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  1. Determining Slope and Y-Intercept

  2. Warm Up Complete the table for the equation y = x – 1. Then, use the table to graph the equation.

  3. How do you use the rate of change to work backward to find the initial value?How is the initial value related to the y-intercept?

  4. Write the equation of a line with slope m that passes through the origin. Explain your reasoning.Compare this equation to the equation of a proportional relationship. What is the relationship between m and k?

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