Answer:
y = - 3x - 3
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (6, -21) ← 2 points from the table
m = [tex]\frac{-21-3}{6+2}[/tex] = [tex]\frac{-24}{8}[/tex] = - 3
y = - 3x + b ← is the partial equation
To find b substitute any other point from the table into the partial equation
using (2, - 9), then
- 9 = - 6 + b ⇒ b = - 9 + 6 = - 3
y = - 3x - 3 ← linear relationship
