Answer:
The two lines are parallel
Step-by-step explanation:
Let us use these rules to solve the question
∵ The 1st equation is -4y = -2x + b
∴ a = -2 and b = -4
∵ m = [tex]\frac{a}{b}[/tex] in this form of the equation
∴ m = [tex]\frac{-2}{-4}[/tex]
∴ m1 = [tex]\frac{1}{2}[/tex]
∵ The 2nd equation is 3x - 6y = 6
∴ a = 3 and b = -6
∵ m = [tex]\frac{-a}{b}[/tex] in this form of the equation
∴ m = [tex]\frac{-3}{-6}[/tex]
∴ m2 = [tex]\frac{1}{2}[/tex]
∵ m1 = m2
∴ The slopes of the two lines are equal
→ That means the two lines are parallel
∴ The two lines are parallel