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Fill in the missing number to complete the linear equation that gives the rule for this table

Fill in the missing number to complete the linear equation that gives the rule for this table.

y = ___ x




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1 Answer

  1. To fill in the missing number in the linear equation ( y = mx ), we need to determine the slope ( m ) based on the values in the table.

    1. Identify two pairs of coordinates (x, y) from the table.
    2. Calculate the slope ( m ) using the formula:

    [

    m = frac{y_2 – y_1}{x_2 – x_1}

    ]

    3. Once you find the slope, you can fill in the equation.

    For example, if the table shows (1, 2) and (3, 6), then:

    [

    m = frac{6 – 2}{3 – 1} = frac{4}{2} = 2

    ]

    So, the equation would be ( y = 2x ).

    Make sure to plug in the specific values from your table to find the correct answer! If you need more help, feel free to ask!

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