Slope of the line through $$$\left(-7, 1\right)$$$ and $$$\left(-3, 9\right)$$$
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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 $$$x_{1} = -7$$$, $$$y_{1} = 1$$$, $$$x_{2} = -3$$$, and $$$y_{2} = 9$$$.
Plug the given values into the formula for a slope: $$$m = \frac{9 - 1}{-3 - \left(-7\right)} = 2$$$.
Answer
The slope of the line is $$$m = 2$$$A.