Answer:
y = 3x + 2
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (3, 11) ← 2 points from the table
m = [tex]\frac{11+1}{3+1}[/tex] = [tex]\frac{12}{4}[/tex] = 3, thus
y = 3x +c ← is the partial equation
To find c substitute (3, 11) into the partial equation
11 = 9 + c ⇒ c = 11 - 9 = 2
y = 3x + 2 ← is the equation in slope- intercept form
