Answer
The slope of the line passing through the points $\left( -1,-2 \right)$ and $\left( -3,-4 \right)$ is 1 and this line rises.
Work Step by Step
The slope of the line passing through two points $\left( {{x}_{1}},{{y}_{1}} \right)$ and $\left( {{x}_{2}},{{y}_{2}} \right)$ is provided by the formula $m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$.
Now, computing the slope of the line passing through the points $\left( -1,-2 \right)$ and $\left( -3,-4 \right)$ as follows:
$\begin{align}
& m=\frac{-4+2}{-3+1} \\
& =\frac{-2}{-2} \\
& =1
\end{align}$
Therefore, the slope of this line is 1.
Now, since the slope of the line is positive, hence the line rises.
Hence, the slope of the line passing through the points $\left( -1,-2 \right)$ and $\left( -3,-4 \right)$ is 1 and this line rises.
