Answer:
C
Step-by-step explanation:
We are given a line that contains the two points (-3, 3) and (-1, -1) and we want to determine the slope of the line.
To find the slope of a line given any two points, we can consider using the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are the two points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute and evaluate:
[tex]\displaystyle\begin{aligned} m&=\frac{(-1)-(3)}{(-1)-(-3)}\\ \\ &= \frac{-1 -3 }{-1 + 3} \\ \\ &= \frac{-4}{2} \\ \\ &= -2\end{aligned}[/tex]
So, the slope of the line is -2.
In conclusion, our answer is C.
