Answer:
y = 4x - 1
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (1, 3) ← 2 ordered pairs from the table
m = [tex]\frac{3+9}{1+2}[/tex] = [tex]\frac{12}{3}[/tex] = 4 , then
y = 4x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, 3 ) , then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 4x - 1 ← equation of line