find the slope of the line passing through the points (3,8) and (7, -7).

Explanation:

Step1: Identify the formula for slope

The formula for the slope (m) of a line passing through two points ((x_1,y_1)) and ((x_2,y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}).

Step2: Assign values to (x_1,y_1,x_2,y_2)

Given the points ((3,8)) and ((7,-7)), we have (x_1 = 3,y_1=8,x_2 = 7,y_2=-7).

Step3: Substitute values into the formula

[ \begin{align*} m&=\frac{-7 - 8}{7 - 3}\ &=\frac{-15}{4} \end{align*} ]

Answer:

(\frac{-15}{4})