Respuesta :

The slope is 2/3

The rise from one point to another is 2, and the run is 3 and since slope is rise/run, the slope is 2/3

Answer: The slope of the line is: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The slope can be calculated with this formula:

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

You need to choose two points of the line. You can pick the point (6,2) and the point (-6,-6)

You can identify that:

[tex]y_2=-6\\y_1=2\\x_2=-6\\x_1=6[/tex]

Now, you must substitute these values into the formula:

[tex]m=\frac{-6-2}{-6-6}[/tex]

With this procedure you get that the the slope of the line on the graph is:

[tex]m=\frac{-8}{-12}[/tex]

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

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