Answer:
slope = - 2
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, 4) and (x₂, y₂ ) = (- 1, - 10) ← 2 points on the green line
m = [tex]\frac{-10-4}{-1+8}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2
Repeat with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 6) ← 2 points on the blue line
m = [tex]\frac{-6-0}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
Since the slopes are equal then the lines are parallel
