Respuesta :

Answer:

[tex]m=\dfrac{6}{11}[/tex]

Step-by-step explanation:

We need to find the slope of the line that goes through following 2 points (4, 9) and (-7,3).

The formula of slope that goes through (x₁,y₁) and (x₂,y₂) is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Putting all the values, we get :

[tex]m=\dfrac{3-9}{(-7)-4}\\\\m=\dfrac{6}{11}[/tex]

So, the slope of the line is [tex]\dfrac{6}{11}[/tex].