$\text{The slope of the line joining the points } (x_1,y_1) \text{ and } (x_2,y_2) \text{ is given by } m=\dfrac{y_2-y_1}{x_2-x_1}$.So, the slope of the line joining the points \(\left(4,1\right)\) and \(\left(-9,4\right)\) is \(\dfrac{\left(4\right)-\left(1\right)}{\left(-9\right)-\left(4\right)}\) = \(\dfrac{4-1}{-9-4}\) = \(\dfrac{3}{-13}\) = \(-\dfrac{3}{13}\)The slope is negative, so the line is falling from left to right.