Answer:
b = a + 4
Step-by-step explanation:
The table of values represents a linear function of the form
b = ma + c ( m is the slope and c the y- intercept )
calculate slope m, using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (4, 8) and (x₂, y₂ ) = (16, 20) ← 2 ordered pairs from the table
substitute these values into the formula for m
m = [tex]\frac{20-8}{16-4}[/tex] = [tex]\frac{12}{12}[/tex] = 1 , then
b = a + c ← is the partial equation
To find c, substitute any ordered pair from the table into the partial equation.
using (12, 16 ) for a and b in the partial equation
12 = 12 + c ( subtract 12 from both sides )
4 = c
b = a + 4 ← required equation
