The slope formula for 2 given points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where the values on the right hand side come from our points:
[tex]\begin{gathered} (x_1,y_1)=(-2,-5) \\ (x_2,y_2)=(4,1) \end{gathered}[/tex]
By substituting these values into the slope formula, we get
[tex]m=\frac{1-(-5)}{4-(-2)}[/tex]
which gives
[tex]\begin{gathered} m=\frac{1+5}{4+2} \\ m=\frac{6}{6} \\ m=1 \end{gathered}[/tex]
therefore, the answer is 1
