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Write a linear function for the data in the table

Write a linear function for the data in the table.

The linear function for the data in the table is __.
(Type an equation using x and y as the variables. Type your answer in slope-intercept form. Use integers or decimals for any numbers in the equation.)




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1 Answer

  1. To write a linear function based on the data in a table, you typically need to identify the slope and the y-intercept. Here’s a step-by-step guide:

    1. Identify Points: Look at the pairs of (x, y) values from the table.
    2. Calculate Slope (m): Use the formula ( m = frac{y_2 – y_1}{x_2 – x_1} ) to find the slope using two points from the table.
    3. Find y-intercept (b): Once you have the slope, use one of the points in the point-slope formula ( y – y_1 = m(x – x_1) ) to solve for b (the y-intercept).
    4. Write the equation: Once you have both m and b, put it into the slope-intercept form ( y = mx + b ).

    If you provide the specific (x, y) values from the table, I can help you find the exact linear function!

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