Answer
The lines are parallel
Explanation:
Given the following equations
x + 4y = 8
3x + 12y = 2
Step 1: convert the equations into a slope - intercept equation
y = mx + b
where m = slope and b = intercept
4y = -x + 8
Divide through by 4
y = -1/4x + 2
Therefore, m = - 1/4 in the above equation
For equation 2
3x + 12y = 2
12y = -3x + 2
Divide through by 12
y = -3x/12 + 2/12
y = -1/4x + 1/6
Therefore, m2 = -1/4
Since the two equations has the same slope, therefore, the lines are parallel
