Answer:
y = - 4x + 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ )= (1, - 2) and (x₂, y₂ ) = (2, - 6) ← 2 ordered pairs from the table
m = [tex]\frac{-6+2}{2-1}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c use any ordered pair from the table
Using (1, - 2), then
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = - 4x + 2 ← equation in slope- intercept form
