hello
to find the slope through the pair of points, we can simply use the formula and substitute the values of the point.
(4, -6) and (-7,6)
x1 = 4
y1 = -6
x2 = -7
y2 = 6
[tex]\begin{gathered} \text{slope = }\frac{\differentialDy y}{dx}_{} \\ \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{6-(-6)}{-7-4} \\ \text{slope}=\frac{6+6}{-11} \\ \text{slope}=-\frac{12}{11} \end{gathered}[/tex]the slope = -(12/11)