find the slope of the line passing through the points (-6,6) and (4,-7).

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}), where ((x_1,y_1)) and ((x_2,y_2)) are two points on the line.

Step2: Identify the coordinates

Let ((x_1,y_1)=(-6,6)) and ((x_2,y_2)=(4,-7)).

Step3: Substitute into the formula

(m=\frac{-7 - 6}{4-(-6)}=\frac{-13}{4 + 6})

Step4: Simplify the expression

(m=\frac{-13}{10}=-\frac{13}{10})

Answer:

(-\frac{13}{10})