Explanation
The formula to find the slope of a line is:
[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{Where} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}[/tex]
In this case, we have:
[tex]\begin{gathered} (x_1,y_1)=(-1,1) \\ (x_2,y_2)=(1,5) \end{gathered}[/tex][tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{5-1}{1-(-1)} \\ m=\frac{4}{1+1} \\ m=\frac{4}{2} \\ m=2 \end{gathered}[/tex]Answer
The slope of the line is 2.
