To check if Line L1 and Line L2 are parallel, we need to check if their slopes are equal.
Given L1 is y=2x+1
The slope of L1 is the coefficient of x, which is 2.
since L1 is in the form of y=mx+c where m is the slope
Given L2 is 4y-8x+1=0
To find the slope of L2, we need to rearrange it to slope-intercept form
y = mx + b, where m is the slope and b is the y-intercept.
4y - 8x + 1 = 0
4y = 8x - 1
y = 2x - 1/4
Now the above equation is in the form of y=mx+c
The slope of L2 is also 2.
Since both lines have the same slope, we can conclude that they are parallel. Therefore, we can say that Line L1 and Line L2 are parallel.