Answer:
D
Step-by-step explanation:
Express the equation in 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 ) = (4, 1) and (x₂, y₂ ) = (5, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-1}{5-4}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (5, 2 ), then
2 = 5 + c ⇒ c = 2 - 5 = - 3
y = x - 3 ← equation representing the table of values
