Answer:
y + 1 = - [tex]\frac{2}{7}[/tex] (x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) 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 ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)
m = [tex]\frac{-3+1}{3+4}[/tex] = [tex]\frac{-2}{7}[/tex] = - [tex]\frac{2}{7}[/tex]
and (x₁, y₁ ) = (- 4, - 1), then
y - (- 1) = - [tex]\frac{2}{7}[/tex] ( x - (- 4) ) , that is
y + 1 = - [tex]\frac{2}{7}[/tex](x + 4) ← equation of line
