\(The\ slope:m=\dfrac{y_2-y_1}{x_2-x_1}\\------------------------------\\(19;-16)\to\ x_1=19\ and\ y_1=-16\\(-7;-15)\to\ x_2=-7\ and\ y_2=-15\\------------------------------\\subtitute:\\m=\dfrac{-15-(-16)}{-7-19}=\dfrac{-15+16}{-7+(-19)}=\dfrac{1}{-26}=\huge\boxed{-\frac{1}{26}}\)