Answer:
y = 5x - 6
Step-by-step explanation:
The equation is in the form
y = mx + c ( m is the rate of change and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, 9) ← ordered pairs from the table
m = [tex]\frac{9+6}{3-0}[/tex] = [tex]\frac{15}{3}[/tex] = 5
The line crosses the y- axis at (0, - 6) ⇒ c = - 6
y = 5x - 6 ← linear equation
