Answer:
second and fifth
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 ) = (- 3, 4) and (x₂, y₂ ) = (- 2, - 1) ← 2 points on the line
m = [tex]\frac{-1-4}{-2+3}[/tex] = - 5
Using (a, b) = (- 2, - 1 ), then
y - (- 1) = - 5(x - (- 2) ) , that is
y + 1 = - 5(x + 2) ← subtract 1 from both sides
y = - 5(x + 2) - 1 ← second option
Using (a, b) = (- 3, 4) , then
y - 4 = - 5(x - (- 3) ) , that is
y - 4 = - 5(x + 3) ← add 4 to both sides
y = - 5(x + 3) + 4 ← fifth option
