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, 0) and (x₂, y₂ ) = (6, - 4)
m = [tex]\frac{-4-0}{6-2}[/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 (6, - 4), then
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - x + 2 ← equation of line
