Answer:
The slope m is;
[tex]m=-\frac{7}{9}[/tex]Explanation:
We want to find the slope of a line that passes through the points;
[tex]\begin{gathered} (10,6) \\ \text{and} \\ (1,13) \end{gathered}[/tex]Recall that the slope m of a line can be calculated using the formula;
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]Substituting the given coordinates we have;
[tex]\begin{gathered} m=\frac{13-6}{1-10} \\ m=\frac{7}{-9} \\ m=-\frac{7}{9} \end{gathered}[/tex]Therefore, the slope m is;
[tex]m=-\frac{7}{9}[/tex]
