You can use the following formula to find the slope of a line:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where these points are on the line:
[tex](x_1,y_1);(x_2,y_2)[/tex]
In this case, you have these two points:
[tex]\begin{gathered} \mleft(26,7\mright) \\ (-39,12) \end{gathered}[/tex]
Then, you can set up that:
[tex]\begin{gathered} y_2=12 \\ y_1=7 \\ x_2=-39 \\ x_1=26 \end{gathered}[/tex]
Therefore, substituting values into the formula and evaluating, you get:
[tex]\begin{gathered} m=\frac{12-7}{-39-26} \\ \\ m=\frac{5}{-65} \\ \\ m=-\frac{1}{13} \end{gathered}[/tex]
Hence, the answer is: Option A.
