Given: the line that passes through the points (2,-5) and (-4, -1).
Find: the slope of the given line.
Explanation: suppose,
[tex]\begin{gathered} (x_{1,}y_1)=(2,-5)\text{ } \\ (x_2,y_2)=(-4,-1) \end{gathered}[/tex]The slope of the line is equal to
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-5)}{-4-2}=\frac{-1+5}{-6}=-\frac{4}{6}=-\frac{2}{3}[/tex]Final answer: the required value of slope is
[tex]-\frac{2}{3}[/tex]