Answer:
Option C is correct.
Step-by-step explanation:
The formula to find the slope given two points is:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
We are given points (0,4) and (3,6)
where x₁ = 0 , y₁ = 4, x₂=3 and y₂=6
Putting values in the formula:
[tex]slope = \frac{6-4}{3-0} \\slope = \frac{2}{3}[/tex]
So, slope is 2/3
Since the slope of line to be found is parallel to line L. So both lines have the same slope.
Slope of line parallel to line L = 2/3
Option C is correct.
