Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (2, 15) ← 2 ordered pairs from the table
m = [tex]\frac{15-8}{2-1}[/tex] = 7, thus
y = 7x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, 8 ), then
8 = 7 + c ⇒ c = 8 - 7 = 1
y = 7x + 1 → A
