find the slope of the line passing through the points $(-8, -3)$ and $(-3, 4)$.

Explanation:

Step1: Identify the formula for slope

The formula for 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: Assign values to (x_1,y_1,x_2,y_2)

Let ((x_1,y_1)=(-8,-3)) and ((x_2,y_2)=(-3,4)). Then (y_2 - y_1 = 4-(-3)=4 + 3=7) and (x_2 - x_1=-3-(-8)=-3 + 8 = 5).

Step3: Calculate the slope

Substitute into the formula: (m=\frac{7}{5}).

Answer:

(\frac{7}{5})