Question

What is the slope of the line that passes through

O
11/12
O
-
0-1
O I don't know.
(-2, 3) and (5,
G
- 6)₂
?

Answer 1

`(\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-6}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{(-2)}}} \implies \cfrac{ -9 }{5 +2} \implies \cfrac{ -9 }{ 7 } \implies -\cfrac{9}{7}`