Answer:
y = - x - 5
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 ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7)
m = =
= -
Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = - x - 5 ← equation of line