Parallel lines are lines that have equal slope
It is true that the two lines are parallel
How to show that the lines are parallel
The equations of the two lines are given as:
y = 5x + 1 and 2y - 10x + 3 = 0
Both equations are linear equations, and a linear equation is represented as:
y = mx + b
Where m represents the slope.
For equation L1, the slope is:
m = 5
For equation L2, we have:
[tex]2y - 10x + 3 = 0[/tex]
Divide through by 2
[tex]y - 5x + 1.5 = 0[/tex]
Make y the subject
[tex]y = 5x - 1.5[/tex]
This means that the slope of equation L2 is also 5
When the slopes are equal, then the lines are parallel
Hence, the two lines are parallel
Read more about parallel lines at:
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