Answer:
y = - [tex]\frac{2}{3}[/tex] x + 6
Step-by-step explanation:
Note the difference in consecutive terms of y is constant.
[tex]\frac{8}{3}[/tex] - [tex]\frac{10}{3}[/tex] = [tex]\frac{10}{3}[/tex] - 4 = 4 - [tex]\frac{14}{3}[/tex] = [tex]\frac{14}{3}[/tex] - [tex]\frac{16}{3}[/tex] = - [tex]\frac{2}{3}[/tex]
This indicates the pattern is linear with equation
y = - [tex]\frac{2}{3}[/tex] x + b
To find b substitute any ordered pair from the table into the equation
Using (3, 4), then
4 = - 2 + b ⇒ b = 4 + 2 = 6
y = - [tex]\frac{2}{3}[/tex] x + 6 ← equation for pattern
