Answer:
y = - 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 m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (- 1, - 1)
m = [tex]\frac{-1+4}{-1-2}[/tex] = [tex]\frac{3}{-3}[/tex] = - 1 , thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, - 1 ), then
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - x - 2 ← equation of line
