The slope of a line that passes through two(2) points is given as:
[tex]\text{Slope,m}=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given points:
[tex]\begin{gathered} (-2,-5)\text{ and (5,0)} \\ x_1=-2,y_1=-5 \\ x_2=5,y_2=0 \end{gathered}[/tex]
Thus, we have:
[tex]\begin{gathered} m=\frac{0-(-5)}{5-(-2)} \\ m=\frac{0+5}{5+2} \\ m=\frac{5}{7} \end{gathered}[/tex]
