The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative

The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 8, 2, negative 4, negative 10, negative 16. What is the slope of the function? –6 –4 4 6

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  1. Given :  The table represents a linear function.

    To Find  : slope of the function

    Solution:

    x            y

    -2          8

    -1           2

    0          -4

    1          -10

    2          -16

    Slope of the line  = ( 2 - 8) / ( - 1 -(-2))

    = - 6 / 1

    = - 6

    -6 is   slope of the line

    y -(-4) = -6(x - 0)

    => y + 4 = -6x

    => 6x + y + 4 = 0  is Equation of line

    slope of the function = - 6

    Learn More:

    What is the slope of the line joining the points(2,0) and(-2,0) - ...

    Find the slope of the line passing through the points (2,3) and ...

           

  2. THIRD OPTION.

    Step-by-step explanation:

    The slope can found by using the following formula:

    [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

    In this case, in order to find the slope of the given function, we need to choose two points from the table provided in the exercise. Let's choose these points:

    [tex](-2,-2)\\\\(2,10)[/tex]

    We can identify that:

    [tex]y_2=-2\\y_1=10\\\\x_2=-2\\x_1=2[/tex]

    Substituting these values into the formula, we get that the slope of the function is:

    [tex]m=\frac{-2-10}{-2-2}\\\\m=3[/tex]

    This matches with the third option.

  3. the slope of the graph is 4 ( because -4 minus 0 is negative 4 but u have to flip it to a positive number)

    Step-by-step explanation:

    I hope this helps

    your welcome

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