Answer:
The slope is:
[tex]m=-2[/tex]
Step-by-step explanation:
Given the points
Finding the slope between the points using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-9,\:17\right)[/tex]
[tex]m=\frac{17-\left(-11\right)}{-9-5}[/tex]
[tex]m=-2[/tex]
Therefore, the slope is:
[tex]m=-2[/tex]
Thus, option A is true.