find the slope of the line passing through the points (-6, -5) and (4, 4).

Explanation:

Step1: Recall slope formula

The slope ( m ) between two points ( (x_1, y_1) ) and ( (x_2, y_2) ) is ( m=\frac{y_2 - y_1}{x_2 - x_1} ).

Step2: Identify coordinates

Let ( (x_1, y_1)=(-6, -5) ) and ( (x_2, y_2)=(4, 4) ).

Step3: Substitute into formula

Substitute values: ( m=\frac{4 - (-5)}{4 - (-6)}=\frac{4 + 5}{4 + 6}=\frac{9}{10} ).

Answer:

(\frac{9}{10})