Answer:
y = - [tex]\frac{1}{6}[/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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 6, 4)
m = [tex]\frac{4-3}{-6-0}[/tex] = [tex]\frac{1}{-6}[/tex] = - [tex]\frac{1}{6}[/tex]
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - [tex]\frac{1}{6}[/tex] x + 3 ← equation of line
