Slope of the line through $$$\left(-1, 3\right)$$$ and $$$\left(-2, 1\right)$$$
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Solution
The slope of a line passing through two points $$$P = \left(x_{1}, y_{1}\right)$$$ and $$$Q = \left(x_{2}, y_{2}\right)$$$ is given by $$$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$$.
We have that $$$x_{1} = -1$$$, $$$y_{1} = 3$$$, $$$x_{2} = -2$$$, and $$$y_{2} = 1$$$.
Plug the given values into the formula for a slope: $$$m = \frac{1 - 3}{-2 - \left(-1\right)} = 2$$$.
Answer
The slope of the line is $$$m = 2$$$A.