Which equation was used to complete the function table? A 2j +1 =k
B 3j - 3 =k
C 4j -7 =k
D 5j -11 =k

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 =

with (x₁, y₁ ) = (7, 21) and (x₂, y₂ ) = (10, 33) ← 2 ordered pairs from the table

m = = = 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