Let's begin by identifying key information given to us:
[tex]\begin{gathered} (x,y)=\mleft(10,-8\mright),(1,12) \\ slope(m)=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ slope(m)=\frac{12-(-8)}{1-10}=\frac{12+8}{-9} \\ slope(m)=-\frac{20}{9} \end{gathered}[/tex]Therefore, the slope of the line equal -20/9
