Answer:
y = - [tex]\frac{1}{3}[/tex] 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 = [tex]\frac{-7+3}{6+6}[/tex] = [tex]\frac{-4}{12}[/tex] = - [tex]\frac{1}{3}[/tex]
Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = - [tex]\frac{1}{3}[/tex] x - 5 ← equation of line
