Answer:
y = - x - 2
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 =

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (2, - 4) ← 2 points on the line
m =
=
=
= - 1
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = - x - 2 ← equation of line