slope = -7/3 (option D)
Explanation:
The given points: (4, 12) and (7, 5)
To get the slope, we will apply the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=4,y_1=12,x_2=7,y_2\text{ = }5 \\ m\text{ = }\frac{5-12}{7\text{ - 4}} \end{gathered}[/tex][tex]\begin{gathered} m\text{ = }\frac{-7}{3} \\ \\ \text{Hence, the slope betw}en\text{ the points is }\frac{-7}{3}\text{ (option D)} \end{gathered}[/tex]
