Answer:
y = 3x + 5
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, 11) ← 2 ordered pairs from the table
m = [tex]\frac{11+1}{2+2}[/tex] = [tex]\frac{12}{4}[/tex] = 3, thus
y = 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, 11 ), then
11 = 6 + c ⇒ c = 11 - 6 = 5
y = 3x + 5 ← equation of linear function
