Answer:
see explanation
Step-by-step explanation:
(2)
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 2 - 8 = - 6 , thus
[tex]a_{n}[/tex] = 8 - 6(n - 1) = 8 - 6n + 6 = 14 - 6n
(3)
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 4) and (x₂, y₂ ) = (- 6, - 3)
m = [tex]\frac{-3+4}{-6-8}[/tex] = [tex]\frac{1}{-14}[/tex] = - [tex]\frac{1}{14}[/tex]
