hello
to solve this problem, we simply need to use the formuls of slope of a line
[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]in question a
the coordinate are
[tex]\begin{gathered} y_2=-2 \\ x_2=6 \\ y_1=3 \\ x_1=4 \end{gathered}[/tex]let's insert the coordinates into the formula above
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-2-4}{6-4} \\ m=-\frac{6}{2} \\ m=-3 \end{gathered}[/tex]the slope of the line is -3