Given the points:
(x1, y1) ==> (3, 4)
(x2, y2) ==> (6, 3)
Let's find the slope of the line passing through the points.
To find the slope, apply the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Plug in the values and solve for the slope, m:
[tex]\begin{gathered} m=\frac{3-4}{6-3} \\ \\ m=\frac{-1}{3} \\ \\ m=-\frac{1}{3} \end{gathered}[/tex]Therefore, the slope of the line passing through the points is:
[tex]-\frac{1}{3}[/tex]ANSWER:
[tex]-\frac{1}{3}[/tex]