Answer:
slope = [tex]\frac{4}{3}[/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 ) = (- 5, - 8) and (x₂, y₂ ) = (7, 8) ← 2 points on the green line
m = [tex]\frac{8+8}{7+5}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
Repeat with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, - 2) ← 2 points on the blue line
m = [tex]\frac{-2+6}{3-0}[/tex] = [tex]\frac{4}{3}[/tex]
Since the slopes of both lines are equal, then the lines are parallel
