Respuesta :

CharlieBrown2002

Hi there! :)

Step-by-step explanation:

[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{4-(-2)}{(-5)-4}=\frac{6}{-9}=\frac{6/3}{-9/3}=\frac{2}{-3}=-\frac{2}{3}[/tex]

Therefore, the slope is -2/3.

[tex]\boxed{-\frac{2}{3} }[/tex], is the final answer.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

SantiagoSala

Alright to solve the problem

make the equation

y = mx + b

 

b = y - mx

 

(5,4) ---> x=5, y=4 and M=-4

 

b = 4 - (-4)(5) = 4 - (-20) = 4 + 20 = 24

 

The equation is y = -4x + 2/-3

 

So that would be the slope of the line.

Hope this helps