Answer:
first option
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 ) = (1, 4 ) and (x₂, y₂ ) = (3, - 4 )
m = [tex]\frac{-4-4}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find substitute either of the 2 points into the partial equation
using (1, 4 ) , then
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - 4x + 8 ← equation of line
