Write the equation of the line in fully simplifoed slope intercept form

Answer:
Step-by-step explanation:
The equation of the line in slope-intercept form: y = mx + b, where m is a slope and b is y-intercept
Slope of line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(0, 8) ⇒ x₁ = 0, y₁ = 8
(3, 3) ⇒ x₂ = 3, y₂ = 3
[tex]\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}[/tex]
b = 8
Therefore the equation: y = -⁵/₃x + 8