[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Let [tex]P_1 = (-5, 0)[/tex] and [tex]P_2 = (7, 8).[/tex] The slope of the line passing through these points is given by
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{8 - 0}{7 - (-5)}[/tex]
[tex]\:\:\:\:\:= \dfrac{8}{12} = \dfrac{2}{3}[/tex]
