Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 1) and (x₂, y₂ ) = (8, 9) ← 2 points on the green line
m = [tex]\frac{9-1}{8+8}[/tex] = [tex]\frac{8}{16}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = 0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the blue line
m = [tex]\frac{7-6}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes of both lines are equal, then the lines are parallel
