Answer:
y = - x - 1
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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line
m = [tex]\frac{-1-0}{0-(-1)}[/tex] = [tex]\frac{-1}{0+1}[/tex] = [tex]\frac{-1}{1}[/tex] = - 1
the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - x - 1 ← equation of blue line
