Answer: The slope of the line is:
![(2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jgft8n5xwx5uidfnxss9gbutm3s8nfmtko.png)
Explanation:
The slope can be calculated with this formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/pj0y5tg37a7a9ase0auiwe687ez8iaw2vl.png)
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:
![y_2=-6\\y_1=2\\x_2=-6\\x_1=6](https://img.qammunity.org/2020/formulas/mathematics/high-school/hk01s4wfzijas34akup1xvgyzb6yemxsp4.png)
Now, you must substitute these values into the formula:
![m=(-6-2)/(-6-6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/75ehfp9fkkpz0o0eokvuccpzuhjg0fhr19.png)
With this procedure you get that the the slope of the line on the graph is:
![m=(-8)/(-12)](https://img.qammunity.org/2020/formulas/mathematics/high-school/5qzn24r1yqp0u5l3dn21mslmhoms909k8w.png)
![m=(2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bnuuom876npgqxi99nye5ptxk7k0xwr5pp.png)