Question

What is the slope ( 6, 5 ) and ( -6,9 )

Answer 1

`\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{6}}}\implies \cfrac{4}{-12}\implies -\cfrac{1}{3}`

Answer 2

`\large\boxed{slope=-(1)/(3)}`

Explanation:

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

(x₁, y₁), (x₂, y₂) - points on a line

We have the points

(6, 5) → x₁ = 6, y₁ = 5

(-6, 9) → x₂ = -6, y₂ = 9

Substitute:

`m=(9-5)/(-6-6)=(4)/(-12)=-(4:4)/(12:4)=-(1)/(3)`