The equation of line L, is y = 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.

see explanation

Step-by-step 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

Rearrange 2y - 10x + 3 = 0 into this form

Add 10x to both sides

2y = 10x ( subtract 3 from both sides )

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

y = 5x - ← in slope- intercept form

with slope m = 5

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

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step-by-step explanation: