Answer:
y = x - 4
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, - 2) and (x₂, y₂ ) = (- 2, - 6)
m = [tex]\frac{-6+2}{-2-2}[/tex] = [tex]\frac{-4}{-4}[/tex] = 1, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 2), then
- 2 = 2 + c ⇒ c = - 2 - 2 = - 4
y = x - 4 ← equation of line
