Answer:
C
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m = [tex]\frac{-1-3}{2-0}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
using (a, b ) = (2, - 1 ) , then
y - (- 1) = - 2(x - 2) , that is
y + 1 = - 2(x - 2)
