Answer:
y = - 5x - 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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-0}{0+1}[/tex] = - 5
The line crosses the t- axis at (0, - 5) ⇒ c = - 5
y = - 5x - 5 ← equation of line