We are asked to determine the slope of a line. To do that we need to use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where:
[tex]\begin{gathered} (x_2,y_2)=(3,5) \\ (x_1,y_1)=(7,3) \end{gathered}[/tex]Replacing in the formula:
[tex]m=\frac{5-3}{3-7}[/tex]Solving the operations:
[tex]m=\frac{2}{-4}=-\frac{1}{2}[/tex]Therefore, the slope of the line is -1/2
