Answer:
B and D
Step-by-step explanation:
Given a line with slope m = - [tex]\frac{3}{5}[/tex]
Since the lines are parallel we require the points with the same slope
Using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = 8, 8) and (x₂, y₂ ) = (2, 2)
m = [tex]\frac{2-8}{2-8}[/tex] = 1 ← not parallel
Repeat with (x₁, y₁ ) = (5, - 1) and (x₂, y₂ ) = (0, 2)
m = [tex]\frac{2+1}{0-5}[/tex] = - [tex]\frac{3}{5}[/tex] ← Parallel
with (x₁, y₁ ) = (- 3, 6) and (x₂, y₂ ) = (6, - 9)
m = [tex]\frac{-9-6}{6+3}[/tex] = - [tex]\frac{5}{3}[/tex] ← not parallel
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (3, - 2)
m = [tex]\frac{-2-1}{3+2}[/tex] = - [tex]\frac{3}{5}[/tex] ← Parallel
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (5, 5)
m = [tex]\frac{5-2}{5-0}[/tex] = [tex]\frac{3}{5}[/tex] ← not parallel
