Answer:
y = - 0.6x + 109
Step-by-step explanation:
The equation in linear form is
y = mx + c ← slope- intercept form
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table
m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6
y = - 0.6x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (45, 82 ) , then
82 = - 27 + c ⇒ c = 82 + 27 = 109
y = - 0.6x + 109
