The slope is m = -5/6.We should determine the slope through these two points:⇒ (3,-4) and (-3,1)Apply the slope formula:[tex]\sf m=\cfrac{y_2-y_1}{x_2-x_1}[/tex]Substitute the values:[tex]\sf m=\cfrac{1-(-4)}{-3-3}[/tex][tex]\sf m=\cfrac{1+4}{-6}[/tex][tex]\sf m=\cfrac{5}{-6}[/tex][tex]\sf m=-\cfrac{5}{6}[/tex]