Answer :
Answer:
y = - x + 10
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 ) = (6, 4 ) and (x₂, y₂ ) = (8, 2 )
m = [tex]\frac{2-4}{8-6}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 4 ) , then
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = - x + 10 ← equation of line