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Answer:
C
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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3)
m = = - 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 → C