Answer :
Answer:
-11
Step-by-step explanation:
To find the slope of the line passing through the points (5,2) and (6,-9), we can use the formula for slope, which is:
[tex] \large\boxed{\boxed{m = \dfrac{y_2 - y_1}{x_2 - x_1}}} [/tex]
Where:
- [tex] (x_1, y_1) [/tex] is the first point (5,2)
- [tex] (x_2, y_2) [/tex] is the second point (6,-9)
Substituting the coordinates into the formula:
[tex] m = \dfrac{-9 - 2}{6 - 5} [/tex]
[tex] m = \dfrac{-11}{1} [/tex]
[tex] m = -11 [/tex]
So, the slope of the line passing through the points (5,2) and (6,-9) is -11.