Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
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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]