Answer:
y = - [tex]\frac{1}{3}[/tex] x - 2
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 the slope m, using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = )- 6, 0) and (x₂, y₂ ) = (3, - 3) ← 2 points on the line
substitute these values into the formula for m
m = [tex]\frac{-3-0}{3-(-6)}[/tex] = [tex]\frac{-3}{3+6}[/tex] = [tex]\frac{-3}{9}[/tex] = - [tex]\frac{1}{3}[/tex]
The line crosses the y- axis at (0, - 2 ) , then c = - 2
y = - [tex]\frac{1}{3}[/tex] x - 2 ← equation of line
