Step-by-step explanation:
Given:
[tex] (x_1, \:y_1) =(-2,\: -5) \:\: \&\:\: (x_2, \:y_2) =(-3,\: 6)\\\\[/tex]
Slope of line in two point form is given as:
[tex] m=\frac{y_2-y_1}{x_2-x_1} \\\\
=\frac{6-(-5)}{-3-(-2)}\\\\
=\frac{6+5}{-3+2}\\\\
=\frac{11}{-1}\\\\
\therefore m= -11[/tex]
Thus slope of given line is - 11.