Answer:
C
Step-by-step explanation:
Using the slope- intercept form
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 ) = (7, 21) and (x₂, y₂ ) = (10, 33) ← 2 ordered pairs from the table
m = [tex]\frac{33-21}{10-7}[/tex] = [tex]\frac{12}{3}[/tex] = 4 , then
k = 4j + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (4, 9 )
9 = 16 + c ⇒ c = 9 - 16 = - 7
k = 4j - 7 → C
