Answer:
y = [tex]\frac{1}{4}[/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 ) = (4, - 2) ← 2 points on the line
m = [tex]\frac{-2+3}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = [tex]\frac{1}{4}[/tex] x - 3 ← equation of line
