Answer:
y = - [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + c ( m is the slope 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 ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table
m = [tex]\frac{-4-2}{1-(-8)}[/tex] = [tex]\frac{-6}{1+8}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]
the ordered pair (0, 0 ) indicates the line crosses through the origin, then
c = 0
y = - [tex]\frac{2}{3}[/tex] x + 0 , that is
y = - [tex]\frac{2}{3}[/tex] x ← equation of linear function
