Answer:
y = - x + 2
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 ) = (1, 1) and (x₂, y₂ ) = (2, 0) ← 2 ordered pairs from the table
m =
=
= - 1 , then
y = - x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (3, - 1 ), then
- 1 = - 3 + c ⇒ c = - 1 + 3 = 2
y = - x + 2 ← equation of line