Question

The equation of L1 is y=5x+1

The equation of L2 is 2y-10x+3=0
Show that these two lines are parallel

Answer 1

see explanation

Explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Given

2y - 10x + 3 = 0 ( add 10x and subtract 3 from both sides )

2y = 10x - 3 ( divide the 3 terms by 2 )

y = 5x -
`(3)/(2)` ← in slope- intercept form

with slope m = 5

Since both lines have a slope of 5, then they are parallel

Answer 2

Both L1 and L2 has a slope of 5 so they are parallel.

Explanation:

Line1: y = 5x + 1

Line2: y = 5x - 1.5

Both L1 and L2 has same slope of 5 so they are parallel.

2y -10x + 3=0

2y = 10x - 3

y = 5x - 1.5