Answer
The slope of the provided line passing through the provided points is 3.
Work Step by Step
Since, the slope of two points\[\left( {{x}_{1}},{{y}_{1}} \right)\], and \[\left( {{x}_{2}},{{y}_{2}} \right)\]is:
\[m=\left( \frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \right)\]
Given points are\[\left( -3,4 \right)\], and\[\left( -5,-2 \right)\].
Therefore,
\[\begin{align}
& m=\left( \frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \right) \\
& =\left( \frac{-2-4}{-5+3} \right) \\
& =\left( \frac{-6}{-2} \right) \\
& =3
\end{align}\]
Therefore, the slope of given points is 3.
