Answer: The slope is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The slope can be calculated with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Then, knowing that the line passes through the points (2,1) and (-1,-1), we can substitute the coordinates into the formula.
In this case:
[tex]y_2=-1\\y_1=1\\x_2=-1\\x_1=2[/tex]
Therefore, the slope of the line that passes through the points (2,1) and (-1,-1) is:
[tex]m=\frac{-1-1}{-1-2}\\\\m=\frac{-2}{-3}\\\\m=\frac{2}{3}[/tex]
