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Utilize a calculator to find the equation of a line passing through two given points.

User Rossi
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Final answer:

To find the equation of a line with a calculator, create a scatter plot, calculate slope and y-intercept from two points, write the linear equation, and use the calculator's regression function to fine-tune the line of best fit.

Step-by-step explanation:

To find the equation of a line passing through two given points using a calculator, follow these steps:

  1. Enter the data into a calculator and create a scatter plot.
  2. Calculate the slope of the line using two points: (X₁, Y₁) and (X₂, Y₂). The slope (m) is calculated by dividing the difference in y-values by the difference in x-values: m = (Y₂ - Y₁) / (X₂ - X₁).
  3. Find the y-intercept (b) using one of the points and the slope you've calculated. The equation is b = Y - mX.
  4. Write the linear equation in the slope-intercept form: y = mx + b, making sure to round coefficients to four decimal places if necessary.
  5. Use the calculator's regression function to find the equation of the least-squares regression line. Add this line to your scatter plot from earlier.
  6. Obtain a graph of the regression line on the calculator. Sketch the regression line on the same axes as your scatter plot.

For many calculators like the TI-83, TI-83+, and TI-84+, instructions on how to use their functionalities to find the best-fit line and create a scatter plot are typically provided in the user manual or online resources.

User Mortimer
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