Answer: [tex]\bold{y=-\dfrac{2}{3}x-\dfrac{41}{3}}[/tex]
Step-by-step explanation:
Use the Point-Slope formula: y - y₁ = m(x - x₁)
[tex]\bullet m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-2}{3-0}=-\dfrac{2}{3}\\\\\bullet (x_1,y_1)=(-4,-11)\\\\\\y+11=-\dfrac{2}{3}(x+4)\\\\\\y+11=-\dfrac{2}{3}x-\dfrac{8}{3}\\\\\\y\qquad =-\dfrac{2}{3}x-\dfrac{41}{3}[/tex]
