Answer :
Answer:
Both lines have a slope of 5, therefore they are parallel lines.
Step-by-step explanation:
The equation of line L₁, is y=5x+1 The equation of line L₂ is 2y-10x+3=0 Show that these two lines are parallel.
As we know, the Parallel lines have equal slopes
The slop intercept form is y = mx + c
Where m is the slope and c is the y-intercept.
Consider the line L₁,
y = 5x + 1 is in the slop intercept form where slope m = 5
Now consider the line L₂.
Write L₂, 2y-10x+3=0 into slope-intercept form
[tex]2y=10x-3[/tex]
[tex]y=5x-\frac{3}{2}[/tex]
The slope of the lines L₂ is m = 5.
Since both lines have a slope of 5, therefore they are parallel lines.