Answer:
y = - 2x + 1
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 =
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = =
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, - 5 ) , then
- 5 = - 6 + c ⇒ c = - 5 + 6 = 1
y = - 2x + 1 ← equation of line