Answer: [tex]\bold{y=-3x-\dfrac{2}{3}}[/tex]
Step-by-step explanation:
First, find the slope of line m using the slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(x₁, y₁) = (-5, 3) and (x₂, y₂) = (-2, -6)
[tex]m = \dfrac{-6-3}{-2-(-5)}=\dfrac{-9}{3}=-3[/tex]
Next, input the slope (m = -3) and the y-intercept [tex]\bigg(b=-\dfrac{2}{3}\bigg)[/tex] into the Slope-Intercept formula: y = mx + b
[tex]y=-3x-\dfrac{2}{3}[/tex]
