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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7) ← 2 points on the line
m = [tex]\frac{-7-(-3)}{6-(-6)}[/tex] = [tex]\frac{-7+3}{6+6}[/tex] = [tex]\frac{-4}{12}[/tex] = - [tex]\frac{1}{3}[/tex]
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - [tex]\frac{1}{3}[/tex] x - 5 ← equation of line
