To find the equation of the line, we will use the formula;
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]where x₁ = -9 y₁=9 x₂=3 y₂=5
substituting into the formula:
[tex]y-9=\frac{5-9}{3+9}(x+9)[/tex]simplify
[tex]y-9=\frac{-4}{12}(x+9)[/tex][tex]y-9=\frac{-1}{3}(x+9)[/tex][tex]y-9=\frac{-1}{3}x\text{ -3}[/tex][tex]y=-\frac{1}{3}x-3+9[/tex][tex]y=-\frac{1}{3}x\text{ +6}[/tex]