Equation for slope for a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be:
[tex]\dfrac{y_1-y_2}{x_1-x_2}[/tex]
Using the given points, the equation changes to:
[tex]\dfrac{4-(-9)}{-4-(-7)}[/tex]
[tex]=\dfrac{13}{3}[/tex]
The slope is 13/3, let me know if you need any clarifications, thanks!