$\text{The slope of the line joining the points } (x_1,y_1) \text{ and } (x_2,y_2) \text{ is given by } m=\dfrac{y_2-y_1}{x_2-x_1}$.So, the slope of the line joining the points \(\left(-5,9\right)\) and \(\left(7,-2\right)\) is \(\dfrac{\left(-2\right)-\left(9\right)}{\left(7\right)-\left(-5\right)}\) = \(\dfrac{-2-9}{7+5}\) = \(\dfrac{-11}{12}\) = \(-\dfrac{11}{12}\)The slope is negative, so the line is falling from left to right.