Answer:
y = - [tex]\frac{1}{2}[/tex] x - 1
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 ) = (- 4, 1) and (x₂, y₂ ) = (4, - 3)
m = [tex]\frac{-3-1}{4+4}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line
