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