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].