Answer:
3x + y = 3
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- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 6) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3+6}{0-3}[/tex] = [tex]\frac{9}{-3}[/tex] = - 3
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - 3x + 3 ← in slope- intercept form
Add 3x to both sides
3x + y = 3 ← in standard form
