Question

The equation of line L1 is y-2x+5

the equation of line L2 is 2y-4x=6
show that the two liines are parralell

Answer 1

Explanation:

If two lines are parallel, their slopes (gradients) will be the same.

Ensure both line equations are in the format y = mx + b (where m is the slope and b is the y-intercept):

Line L1: y = 2x + 5

Line L2: 2y - 4x = 6

⇒ 2y = 4x + 6

⇒ y = 2x + 3

As the slopes of L1 and L2 are both 2 and therefore the same, this proves that the two lines are parallel.