Respuesta :

The slope (m) of the line that is represented by the points in the given table is: -1.

Recall:

Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Thus, given a table of values, to find the slope of a line that the values on the table represent for a line, pick any two pair of coordinate points.

Let's take, (0, 2) and (2, 1)

  • Let,

[tex](0, 2) = (x_1, y_1)\\\\(2, 1) = (x_2, y_2)[/tex]

  • Plug in the values

Slope (m) = [tex]\frac{1 - 2}{2 - 1} = \frac{-1}{1}[/tex]

Slope (m) = -1

Therefore, the slope (m) of the line that is represented by the points in the given table is: -1.

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