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[tex]The \: slope \: is \: -4[/tex]

The slope of a graph is the rate of change of the graph

The slope of the graph is that passes through (0,2) and (1,-2) is (d) -4

Start by selecting any two points on the line of the graph

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

The slope (m) of the graph is simply the average rate of change of the graph.

It is calculated as follows:

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

Substitute values for x and y

[tex]m = \frac{-2-2}{1 - 0}[/tex]

Simplify

[tex]m = \frac{-4}{1}[/tex]

Divide

[tex]m = -4[/tex]

Hence, the slope of the graph is -4

Read more about slopes at:

https://brainly.com/question/3605446

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