Answer:
y = [tex]\frac{2}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercepot )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (- 3, 0) ← coordinates of intercepts
m = [tex]\frac{0-2}{-3-0}[/tex] = [tex]\frac{-2}{-3}[/tex] = [tex]\frac{2}{3}[/tex]
Note the y- intercept is given as 2 ⇒ c = 2
y = [tex]\frac{2}{3}[/tex] x + 2 ← equation of line
