Answer:
y = - x + 4
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 =
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (4, 0 )
m =
=
=
= - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation.
using (4, 0 ) , that is x = 4, y = 0
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = - x + 4 ← equation of line