Answer:
y = [tex]\frac{1}{3}[/tex] x + 3
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 ) = (- 6, 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line
m = [tex]\frac{4-1}{3+6}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = [tex]\frac{1}{3}[/tex] x + 3 ← linear equation
