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 ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line
m = [tex]\frac{3+1}{3+3}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Note the line crosses the y- axis at (0, 1) ⇒ c = 1
y = [tex]\frac{2}{3}[/tex] x + 1 or
f(x) = [tex]\frac{2}{3}[/tex] x + 1
