The first step is to find the slope of lines L1 and L2. The formula for determining slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y2 and y1 are final and initial values of y
x2 and x1 are final and initial values of x
For line L1,
x1 = - 2, y1 = 6
x2 = 10, y2 = 2
Slope = (2 - 6)/(10 - - 2) = - 4/12
Slope = - 1/3
For line L2,
x1 = - 3, y1 = 5
x2 = 0, y2 = 6
Slope = (6 - 5)/(0 - - 3) = 1/- 3
Slope = - 1/3
If two lines are parallel, it means that they have the same slope. Since the slopes of lines L1 and L2 are equal, then, they